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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 786 · 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 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  2. 2.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  3. 3.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes 64 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  6. 6.Two trains, 60 m and 90 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  7. 7.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  8. 8.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  9. 9.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 21 km upstream and come back?
  10. 10.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 63 km upstream and come back?
  11. 11.A boat goes 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  12. 12.A boat goes 95 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  14. 14.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  15. 15.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  16. 16.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  17. 17.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  18. 18.Two trains, 90 m and 185 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  19. 19.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  20. 20.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  21. 21.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  22. 22.Two trains, 50 m and 225 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  23. 23.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  24. 24.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  25. 25.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  26. 26.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  27. 27.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  28. 28.A boat goes 38 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  30. 30.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 78 km upstream and come back?
  31. 31.A boat goes at 18 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 105 km upstream and come back?
  32. 32.Two trains, 170 m and 105 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  33. 33.A boat goes 60 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  34. 34.A boat goes 28 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  36. 36.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  37. 37.Two trains, 140 m and 220 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  38. 38.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  39. 39.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  40. 40.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 108 km upstream and come back?

Answer key

  1. 30
  2. 225
  3. 21
  4. 14
  5. 42
  6. 6
  7. 22
  8. 31
  9. 4
  10. 66
  11. 2
  12. 15
  13. 11
  14. 90
  15. 60
  16. 37
  17. 195
  18. 11
  19. 30
  20. 38
  21. 25
  22. 11
  23. 420
  24. 30
  25. 29
  26. 16
  27. 700
  28. 17
  29. 150
  30. 84
  31. 12
  32. 11
  33. 5
  34. 3
  35. 28
  36. 315
  37. 12
  38. 360
  39. 22
  40. 33

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