Practice Test

Q1) A thief is a spotted by a policeman from a distance of 200 m. When the policeman starts chasing, the thief also starts running. If the speed of the thief be 16 km/h and that of the policeman be 20 km/h, how far the thief will have run before he is overtaken? Show Answer

Q2) A certain distance is covered at a certain speed. If half of this distance is covered in 4 times of the time, find the ratio of the two speeds. Show Answer

Q3) Sunil drives a motorcycle and covers a distance of 715 km at a constant speed. If the speed of the motorcycle had been 10 km/h, more the would have taken 2 h less to cover the same distance. What is the original speed of the motorcycle? Show Answer

Q4) Amit walks at a uniform speed of 4 km/h and 4 h after his start, Brijesh cycles after him at the uniform rate of 20 km/h. How far from the starting point will Brijesh catch Amit? Show Answer

Q5) A train leaves Manipur at 6 am and reaches Dispur at 10 am. Another train leaves Dispur at 8 am and reaches Manipur at 11:30 am. At what time do the two trains cross each other? Show Answer

Q6) Two trains of length 512 m and 528 m are running towards each other on parallel lines at 84 km/h and 60 km/h respectively. In what time will they be clear of each other from the moment they meet? Show Answer

Q7) A train passes two persons who are walking in the direction opposite to the direction of train at the rate of 10 m/s and 20 m/s respectively in 12 s and 10 s respectively. Find the length of the train. Show Answer

Q8) From stations M and N, two trains start moving towards each other at speed 125 km/h and 75 km/h, respectively. When the two trains meet each other, it is found that one train covers 50 km more than another. Find the distance between M and N. Show Answer

Q9) The average speed of a train is 154 km/h. The last station of the train was 1232 km away. The train reached its destination 10 h after its departure and it halted on the way due to some technical problems. For how long did the train halt? Show Answer

Q10) In a stream running at 2 km/h a motor boat goes 10 km upstream and back again to the starting point in 55 min, find the speed of the motor boat in still water Show Answer

Q11) A boat running upstream takes 528 min to cover a certain distance, while it takes 240 min to cover the same distance running downstream. What is the ratio between the speed the boat and speed of the water current, respectively? Show Answer

Q12) Sameer can row certain distance downstream in 24 h and come back covering the same distance in 36 h. If the stream flows at the rate of 12 km/h. Find the speed of sameer in still water. Show Answer

Q13) A, B and C are situated at the bank of river which is flowing at a constant rate. B is at an equal distance with A and C. A swimmer Avinash takes 10 h to swim from A to B and B to A. Also he takes 4th to swim from A to C. What is the ratio of speed of Avinash in still water and speed of stream? Show Answer

Q14) A train P starts from Delhi at 5 pm and reaches Modinagar at 6 pm. An another train Q starts from Modinagar at 5 pm and reaches Delhi at 6 : 30 pm. At what time, two trains will cross each other? Show Answer

Q15) A man completes 30 km of a journey at 6 km/h and the remaining 40 km of the journey in 5 h. Find the average speed for the whole journey. Show Answer

Q16) Two men A and B travel from point P to Q, a distance of 84 km at 12 km/h and 16 km/h, respectively. B reaches Q and returns immediately and meets A at R. Find the distance from P to R. Show Answer

Q17) John started from A and B and Vinod from B to A. If the distance between A and B is 125 km and they meet at 75 km from A, what is the ratio of John's speed to that of Vinod's speed? Show Answer

Q18) A man covers half of his journey at 6 km/h and the remaining half at 3 km/h. Find his average speed. Show Answer

Q19) The speed of A and B are in the ratio of 3 : 4. A taken 20 min more than the time taken by B to reach a destination. In what time does A reach the destination? Show Answer

Q20) If Sohail walks from his home to office at 16 km/h, he is late by 5 min. If he walks at 20 km/h, he reaches 10 min before the office time. Find the distance of his office from his house. Show Answer

Q21) A garrison 6600 men had provisions for 64 days at the rate of 1700 g per head. At the end of 14 days, a reinforcement arrives and it was found that the provision will last 34 days more at the rate of 1650 g per head. What is the strength of the inforcement? Show Answer

Q22) An aeroplane flies along the four sides of a square at the speeds of 200, 400, 600 and 800 km/h. Find the average speed of the plane around the field. Show Answer

Q23) A monkey ascends a greased pole 12 meters high. He ascends 2 meters in first minute and slips down 1 meter in the alternate minute. In which minute, he reaches the top? Show Answer

Q24) There are 20 poles with a constant distance between each pole. A car takes 24 seconds to reach the 12th pole. How much time will it take to reach the last pole? Show Answer

Q25) A man is walking at a speed of 10 km per hour. After every kilometer, he takes rest for 5 minutes. How much time will he take to cover a distance of 5 kilometers? Show Answer

Q26) On a journey across Bombay, a tourist bus averages 10 km/h for 20% of the distance, 30 km/h for 60% of it and 20 km/h for the remainder. The average speed for the whole journey was Show Answer

Q27) In a 800 m race around a stadium having the circumference of 200 m, the top runner meets the last runner on the 5th minute of the race. If the top runner runs at twice the speed of the last runner, what is the time taken by the top runner to finish the race? Show Answer

Q28) A man walks half of the journey at 4 km/h by cycle does one third of journey at 12 km/h and rides the remainder journey in horse cart at 9 km/h, thus completing the whole journey in 6 hours and 12 minutes. The length of the journey is Show Answer

Q29) A train does a journey without stoppage in 8 hours, if it had traveled 5 km/h faster, it would have done the journey in 6 hours 40 minutes. Find the original speed. Show Answer

Q30) A train leaves station X at 5 a.m. and reaches station Y at 9 a.m. Another train leaves station Y at 7 a.m. and reaches station X at 10 : 30 a.m. At what time do the two trains cross each other. Show Answer

Q31) A man covers a certain distance on a toy train. If the train moved 4 km/h faster, it would take 30 minutes less. If it moved 2 km/h slower, it would have taken 20 minutes more. Find the distance Show Answer

Q32) A goods train leaves a station at a certain time and at a fixed speed. After 6-hours, an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph. This train catches up the goods train in 4 hours. Find the speed of the goods train. Show Answer

Q33) Without stoppages, a train travels certain distance with an average speed of 80 km/h, and with stoppages, it covers the same distance with an average speed of 60 km/h. How many minutes per hour the train stops? Show Answer

Q34) In a man walks to his office at 3/4 of his usual rate, he reaches office 1/3 of an hour later than usual. What is his usual time to reach office. Show Answer

Q35) A train running between two stations A and B arrives at its destination 10 minutes late when its speed is 50 km/h and 50 minutes late when its speed is 30 km/h. What is the distance between the stations A and B? Show Answer

Q36) A thief goes away with a Maruti car at a speed of 40 km/h. The theft has been discovered after half an hour and the owner sets off in another car at 50 km/h. What will the owner overtake the thief from the start. Show Answer

Q37) A starts 3 min after B for a place 4.5 km away. B on reaching his destination, immediately returns back and after walking a km meets A. If A walks 1 km in 18 minutes then what is B's speed? Show Answer

Q38) A long distance runner runs 9 laps of a 400 meters track everyday. His timings (in minutes) for four consecutive days are 88, 96, 89 and 87 respectively. On an average, how many meters/minute does the runner cover? Show Answer

Q39) It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the speed of the car is Show Answer

Q40) In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is Show Answer

Q41) Points A and B are 70 km apart on a highway. One car starts form A and the another one from B at the same time. If they travel in the same direction, they meet in 7 hours. But if they travel towards each other, they meet in one hour. The speeds of the two cars are respectively. Show Answer

Q42) Anil calculated that it will take 45 minutes to cover a distance of 60 km by his car. How long will it take to cover the same distance if the speed of his car is reduced by 15 km/hr? Show Answer

Q43) The jogging track in a sports complex is 726 meters in circumference. Pradeep and his wife start from the same point and walk in opposite directions at 4.5 km/h and 3.75 km/h, respectively. They will met for the first time in Show Answer

Q44) A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour. How much water (in liters) will fall into the sea in a minute? Show Answer

Q45) The speed of a boat in still water is 15 km/h and the rate of stream is 5 km/h. The distance traveled downstream in 24 minutes is Show Answer

Q46) A person can swim in still water at 4 km/h. If the speed of water is 2 km/h, how many hours will the man take to swim back against the current for 6 km. Show Answer

Q47) A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water? Show Answer

Q48) A boat goes 24 km upstream and 28 km downstream in 6 hours. It goes 30 km upstream and 21 km downstream in 6 hours and 30 minutes. The speed of the boat in still water is Show Answer

Q49) A man who can swim 48 m/min in still water swims 200 m against the current and 200 m with the current. If the difference between those two times is 10 minutes, find the speed of the current. Show Answer

Q50) A circular running path is 726 meters in circumference. Two men start from the same point and walk in opposite directions at 3.75 km/h and 4.5 km/h, respectively. When will they meet for the first time? Show Answer

Q51) A train after traveling 150 km meets with an accident and then proceeds with 3/5 of its former speed and arrives at its destination 8 h late. Had the accident occurred 360 km further, it would have reached the destination 4 h late. What is the total distance traveled by the train? Show Answer

Q52) Two persons start from the opposite ends of a 90 km straight track and run to and fro between the two ends. The speed of first person is 30 m/s and the speed of other is 125/6 m/s. They continue their motion for 10 hours. How many times they pass each other? Show Answer

Q53) A train 100 meters long moving at a speed of 50 km/hr. crosses a train 120 meters long coming from opposite direction in 6 sec. The speed of the second train is Show Answer

Q54) A passenger sitting in a train of length 100 m, which is running with speed of 60 km/h passing through two bridges, notices that he crosses the first bridge and the second bridge in time intervals which are in the ratio of 7 : 4 respectively. If the length of first bridge be 280 m, then the length of second bridge is Show Answer

Q55) A man can row a certain distance against the stream in six hours. However, he would take two hours less to cover the same distance with the current. If the speed of the current is 2 kmph, then what is the rowing speed in still water? Show Answer

Q56) A boat, while going downstream in a river covered a distance of 50 mile at an average speed of 60 miles per hour. While returning, because of the water resistance, it took one hour fifteen minutes to cover the same distance. What was the average speed of the boat during the whole journey? Show Answer

Q57) Two trains 130 m and 110 m long, are going in the same direction. The faster train takes one minute to pass the other completely. If they are moving in opposite directions, they pass each other completely in 3 seconds. Find the speed of each train. Show Answer

Q58) If a train runs at 70 km/hour, it reaches its destination late by 12 minutes. But it runs at 80 km/hour, it is late by 3 minutes. The correct time to cover the journey is Show Answer

Q59) A car covers four successive 6 km stretches at speeds of 25 kmph, 50 kmph, 75 kmph and 150 kmph respectively. Its average speed over this distance is Show Answer

Q60) A is faster than B. A and B each walk 24 km. The sum of their speed is 7 km/hr and the sum of time taken is 14 hours. A's speed is Show Answer

Q61) In a 1 km race A beats B by 40 meters or 7 seconds. Find A's time over the course. Show Answer

Q62) A hare sees a dog 100 meters away from her and scuds off in the opposite direction at the speed of 12 km/hr. A minutes later the dog sees her and chases her at a speed of 16 km/hr. How soon will the dog overtake her? Show Answer

Q63) On reducing my speed to 3 km/hr. I reach office 10 minutes late. I usually travel at 133% of this speed and reach early by the same margin. How far is my office? Show Answer

Q64) A monkey climbs a slippery pole 12 m height rises 1 m in every 1 min and slips 1/2 meter in every next minute. Find how soon it will reach the top. Show Answer

Q65) It takes 8 hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more if 200 km is down by train and the rest by car. The ratio of the speed of the train to that of the car is Show Answer

Q66) A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream. Show Answer

Q67) A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is: Show Answer

Q68) A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is: Show Answer

Q69) In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is: Show Answer

Q70) The speed of a boat in still water in 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is: Show Answer

Q71) A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is: Show Answer

Q72) A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place? Show Answer

Q73) A boat covers a certain distance downstream in 1 hour, while it comes back in 1 hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water? Show Answer

Q74) A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water? Show Answer

Q75) Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is: Show Answer

Q76) A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is: Show Answer

Q77) A man rows to a place 48 km distant and come back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is: Show Answer