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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 548 · 40 questions
TalentJR

The method (Length and relative speed): Change km/h to m/s (× 5/18) when lengths are in metres and time in seconds. Pole: time = train length ÷ speed. Platform: (train + platform) ÷ speed. Towards each other: add the speeds; same direction: take them away. Cover both lengths. Downstream = boat + stream; upstream = boat − stream. Boat = (down + up) ÷ 2; stream = (down − up) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes 68 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  5. 5.A boat goes 52 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  6. 6.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  8. 8.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  9. 9.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  10. 10.Two trains, 60 m and 185 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  11. 11.A boat goes at 11 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 96 km upstream and come back?
  12. 12.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  13. 13.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  14. 14.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  15. 15.A boat goes at 19 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 96 km upstream and come back?
  16. 16.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  17. 17.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  18. 18.A boat goes 70 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  19. 19.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  20. 20.A boat goes 24 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  21. 21.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  22. 22.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes 32 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  24. 24.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  25. 25.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 42 km upstream and come back?
  26. 26.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  27. 27.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 30 km upstream and come back?
  28. 28.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  30. 30.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  31. 31.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  32. 32.A boat goes at 15 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 63 km upstream and come back?
  33. 33.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  34. 34.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  35. 35.Two trains, 120 m and 120 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  36. 36.A boat goes 65 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  37. 37.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  38. 38.Two trains, 200 m and 160 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  39. 39.A boat goes 48 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 55 km upstream and come back?

Answer key

  1. 9
  2. 15
  3. 12
  4. 290
  5. 5
  6. 14
  7. 460
  8. 75
  9. 23
  10. 7
  11. 22
  12. 425
  13. 625
  14. 26
  15. 19
  16. 18
  17. 405
  18. 2
  19. 130
  20. 1
  21. 19
  22. 30
  23. 2
  24. 285
  25. 8
  26. 70
  27. 12
  28. 10
  29. 750
  30. 22
  31. 13
  32. 10
  33. 180
  34. 150
  35. 8
  36. 4
  37. 21
  38. 8
  39. 11
  40. 16

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