• 1. 
    A man takes 10 hours to go to a place and come back, by walking both ways at contact speed He could have gained 2 hours by riding both the ways at a constant speed, The distance covered in the whole journey is 18 miles. Find the average speed for the whole journey if he goes by walking and comes back by riding.

  • 5 mph
  • 4 mph
  • 3 mph
  • 2 mph
  • 1 mph
  • 2. 
    A boy goes to school at a speed of 5 km/h and returns to the village at a speed of 4 km/h. If he takes 4 hr 30 min in all, what is the distance between the village and the school?

  • 7 km
  • 10 km
  • 4 km
  • 5 km
  • 8 km
  • 3. 
    Bombay Express left Delhi for Bombay at 13 - 30 hrs, travelling at a speed of 86.3 kmph and Rajdhani Express left Delhi for Bombay on the same day at 17-00 hrs, travelling at a speed of 121.6 kmph. How far away from Delhi will the two trains meet? (assumed that train will travel equal distance while they meet each other)

  • 594.98 km
  • 592.56 km
  • 593.56 km
  • 1040 km
  • 595.36 km
  • 4. 
    Rampur is 100 km from Sitapur. At 3 pm Bharat Express leaves Rampur for Sitapur and travels at constant speed of 30 kmph. One hour later, Laxman Mail leaves Sitapur for Rampur and travels at a constant speed of 40 kmph. Each train makes one stop only at a station 10 km from its starting point and remains there for 15 min. Which train is nearer to Rampur when they meet and what is the distance from that point to Rampur?

  • Both are equidistant, 60 km
  • Both are equidistant, 40 km
  • Bharat Express, 40 km
  • Laxman Mail, 60 km
  • None of these
  • 5. 
    An express train was about to enter a village when the locals were informed by a small kid that the tracks are missing. The train is at a distance of 3 km and time it takes to stop after brakes are applied is 15 sec. The tracks are at a distance of 2.5 km from the village. At what speed should the locals run if the train is running at a speed of 180kmph. The length of the train is 600 m.

  • 56 kmph
  • 200 kmph
  • 175 kmph
  • 158 kmph
  • None of these
  • 6. 
    The speed of a boat in still water is 60 km/hr, while the speed of stream is 25 km/hr. The boat crosses the stream and lands on the opposite bank at a distance of 195 km from starting point. Find the width of the stream (in km).

  • 255
  • 312
  • 444
  • 468
  • 512
  • 7. 
    A man can row at 5 km/hr in still water. If the velocity of current is 1 km/hr and it takes him 1 hour to row to a place and come back, how far is the place?

  • 2.4 km
  • 2.8 km
  • 3 km
  • 3.6 km
  • 2.0 km
  • 8. 
    Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?

  • 45 m
  • 50 m
  • 100 m
  • 130 m
  • 27.78 m
  • 9. 
    A man is travelling in his car from city A to B and back. In the journey from A to B he is travelling with constant speed of 40 km/hr. While travelling back his speed was 45 km/hr. He took 3 hrs in the whole journey. What was his average speed?

  • 36 km/hr
  • 42.4 km/hr
  • 10 km/hr
  • 15 km/hr
  • 23 km/hr
  • 10. 
    A passenger who likes to board the first coach of a train stands somewhere in middle of a platform. After seeing the train arriving at the other end of the platform, he runs at a speed which half that of the train and the first coach crosses him in 1 min. If the man moved faster by 3 km/hr, he would have reached the first coach just at the other end of the platform after 2 min, then what is the length of the platform (in meters)?

  • 500
  • 440
  • 350
  • 400
  • 360
  • 11. 
    The speed of Boat P is 3 km/h more than the speed of Boat Q. The time taken by Boat Q to travel a distance of 30 km downstream is 30 minutes more than the time taken by Boat P to travel the same distance downstream. If the speed of the current is 1/3 of the speed of Boat Q, then what is the speed of Boat P?

  • 4
  • 6
  • 12
  • 10
  • 8
  • 12. 
    Two trains start from stations A and B and travel towards each other at a speed of 60 kmph and 80 kmph respectively. At the time of their meeting, the second train had travelled 180 km more than the first. The distance between A and B is:

  • 1260 km
  • 1620 km
  • 1660 km
  • 600 km
  • 1800 km
  • 13. 
    Two boats are 50 km apart from each other in the direction of the flow of river. The speed of each boat in still water is 20 km/hr. They both start moving towards each other at same point of time. After how much time will they meet? (Assume that the river is straight and has no turns)

  • 1 hour
  • 1 hour and 15 minutes
  • 1 hour and 30 minutes
  • 2 hours
  • Cannot be determined
  • 14. 
    The speed of a boat named Maria in still water is 20 km/hr, while that of boat named Kate is 16 km/hr. The speed of stream is 6 km/hr. Both boats start from the same side of stream at the same point and cross the 20 km wide stream. What will be the distance between the points where they will reach on opposite side of stream?

  • 0 km
  • 1.5 km
  • 6 km
  • 7.5 km
  • 4.5 km
  • 15. 
    The length of two trains are 450 m and 620 m respectively and speed of the trains are 72 kmph and 90 kmph respectively. Find the difference in the time taken by the trains to cross each other moving in the same direction and opposite direction.

  • 23.78 sec
  • 190.22 sec
  • 214 sec
  • 237.78 sec
  • None of these
  • 16. 
    At the distance of 60 km from the shore, a hole is found in the ship which supply 6 tonnes of water in 10 min. Ship contains the extraction pump which remove the water from the ship at the rate of 24 tonnes/hr. 72 tonnes of water would sink it. The average speed at which it should sail to reach the shore just before it sinks is ________.

  • 9.17 km/h
  • 12.4 km/h
  • 5 km/h
  • 15 km/h
  • 10 km/h
  • 17. 
    Ritu took a non-stop flight to visit her grandmother. The 750-mile trip took three hours and 45 minutes. Because of the bad weather, the return trip took four hours and 45 minutes. What was her average speed for the round trip?

  • 176.47 mile per hour
  • 167.47 mile per hour
  • 156 mile per hour
  • 180 mile per hour
  • 195 mile per hour
  • 18. 
    A train 75 metres long overtook a person (going in the same direction) who was walking at the rate of 6 km an hour, and passed him in \(7\frac{1}{2}\) seconds. Subsequently it overtook a second person (going in the same direction), and passed him in \(6\frac{3}{4}\) seconds. At what rate was the second person travelling?

  • 2 km/hr
  • 3 km/hr
  • 5 km/hr
  • 6 km/hr
  • None of these
  • 19. 
    A train of length 120 m travelling with a speed of 40 m/s catches another train of length 80 m travelling in the same direction and then leaves it 100 meters behind in 20 seconds. The speed of the second train is:

  • 20 m/S
  • 35 m/S
  • 28 m/S
  • 32 m/S
  • 25 m/S
  • 20. 
    Two trains, 80 km apart, are travelling in the same direction. Train B travelling at 80 km/hr. starts at 10 AM. Train A, which was traveling at 105 km/hr, starts at 10:30 AM. Find the time at which faster train overtakes the other?

  • 3 AM
  • 3 : 20 PM
  • 3 : 18 PM
  • 2 : 48 PM
  • None of these
  • 21. 
    A boat can travel 24 km downstream in 4 hrs less time than it takes to travel the same distance upstream at a certain speed. If its speed is doubled and the speed of stream is tripled then it can travel 14/3 Km distance downstream in 1 hrs less time than it can upstream. Find the speed of stream.

  • 20/3 kmph
  • 10/3 kmph
  • 8 kmph
  • 16/3 kmph
  • 4 kmph
  • 22. 
    Two boats have same speed of 10 km/hr in still water. First boat starts from a point P and goes upstream. At the same time, second boat starts from same point P and goes downstream. After 3 hours, the sum of distances covered by them is 60 km. What is the speed of the stream (in km/hr)?

  • 1
  • 2
  • 2.5
  • 4
  • Cannot be determined
  • 23. 
    Disks of radius 7 cm and 14 cm start rolling simultaneously from A and B, which are 5,280 cm apart towards each other in opposite directions. Both of them make the same number of revolutions per second. If both of them meet after 10 seconds, the speed of the smaller disk is ________

  • 144 cm/sec
  • 166 cm/sec
  • 176 cm/sec
  • 136 cm/sec
  • None
  • 24. 
    Two trains leave Lucknow at 6 : 00 a.m. and 6 : 30 a.m. respectively. Speed of first train is 60 km/hr while that of second one is 70 km/hr. How many kilometres from Lucknow will they meet?

  • 210
  • 150
  • 200
  • 250
  • None of these
  • 25. 
    A man travels a distance in 10 hours, the first half of the distance at 21 km/hr and the rest at 24 km/hr. Find the distance.

  • 112 km
  • 65 km
  • 56 km
  • 54 km
  • 224 km
  • 26. 
    In a race of senior citizens, Mr. A can give his friend Mr. B a start of 20 m and Mr. C a start of 39 m in a race of 100 m. How much start can Mr. B give Mr. C?

  • 20 m
  • 24.75 m
  • 20.25 m
  • 23.75 m
  • 40 m
  • 27. 
    A boat covers a certain distance downstream in 1 hour, while it comes back in 1.5 hour. If the speed of the stream be 3 km/hr, what is the speed of the boat in still water?

  • 12 km/hr
  • 9.5 km/hr
  • 14 km/hr
  • 7.5 km/hr
  • None of these
  • 28. 
    Two boats A and B are stationed at two points Q and R on a flowing river. The direction of flow of river is from Q to R. When the boats A and B moved towards each other they met at P, Which is at a distance of 20 m from the point R. When A moves towards B and B moves away from A they met at S which is at a distance of 40 m from the point R. Boat B’s speed in still water is 5 times the speed at which river is flowing. Find the ratio of the speed of boat A to boat B

  • 6:1
  • 8:1
  • 5:1
  • 7:1
  • None of these
  • 29. 
    Rajan is travelling at a speed of 24 km/h reaches a particular place 10 minutes early but when he travels at a speed of 16 km/h he reaches the same place from the same point 10 minutes late. Find the distance.

  • 11 km
  • 15 km
  • 12 km
  • 16 km
  • None of these
  • 30. 
    A man leaves his office to attend the Teacher-Parents' meet in his son's school. The school is distance of 8 km away from his office and he travels at a constant speed. He travelled half the way with the specified speed and stopped at a stationery shop for 10 minutes. To reach the school on time, he had to increase its speed by 2 km/h for the rest of the way. Next time he stopped at stationery shop for 15 minutes. By what value must he increase his speed for the remaining half of the distance to reach the school as per the schedule?

  • 1.8 kmph
  • 9.6 kmph
  • 3.6 kmph
  • 4.8 kmph
  • Can’t be determined
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