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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 635 · 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 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  2. 2.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  3. 3.A boat goes at 16 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 28 km upstream and come back?
  4. 4.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  5. 5.Two trains, 110 m and 50 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  6. 6.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  7. 7.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  8. 8.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  9. 9.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 66 km upstream and come back?
  10. 10.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  11. 11.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  12. 12.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes at 10 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 30 km upstream and come back?
  14. 14.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  15. 15.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  16. 16.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  18. 18.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  19. 19.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  21. 21.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  22. 22.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 24 km upstream and come back?
  23. 23.Two trains, 220 m and 275 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  24. 24.A boat goes 48 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  27. 27.Two trains, 100 m and 80 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?
  28. 28.Two trains, 110 m and 90 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  29. 29.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 33 km upstream and come back?
  30. 30.A boat goes 48 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  32. 32.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  36. 36.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes at 20 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 102 km upstream and come back?
  38. 38.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  39. 39.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  40. 40.A boat goes 30 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 13
  2. 560
  3. 8
  4. 240
  5. 4
  6. 26
  7. 40
  8. 175
  9. 72
  10. 18
  11. 40
  12. 30
  13. 8
  14. 25
  15. 11
  16. 7
  17. 18
  18. 280
  19. 19
  20. 360
  21. 33
  22. 8
  23. 11
  24. 13
  25. 10
  26. 32
  27. 6
  28. 5
  29. 14
  30. 20
  31. 26
  32. 5
  33. 18
  34. 16
  35. 575
  36. 15
  37. 20
  38. 27
  39. 210
  40. 1

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