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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 478 · 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 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  2. 2.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  3. 3.A boat goes at 12 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 21 km upstream and come back?
  4. 4.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  5. 5.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  6. 6.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  7. 7.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  8. 8.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.Two trains, 190 m and 90 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  10. 10.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 112 km upstream and come back?
  11. 11.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  12. 12.Two trains, 80 m and 280 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  13. 13.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  14. 14.Two trains, 230 m and 50 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  15. 15.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  16. 16.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  18. 18.A boat goes at 14 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 75 km upstream and come back?
  19. 19.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  20. 20.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  21. 21.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  22. 22.Two trains, 80 m and 340 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  23. 23.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  24. 24.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  25. 25.A boat goes at 17 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 93 km upstream and come back?
  26. 26.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  27. 27.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  28. 28.Two trains, 110 m and 290 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  29. 29.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  30. 30.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 72 km upstream and come back?
  31. 31.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  32. 32.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  33. 33.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  34. 34.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.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?
  37. 37.A boat goes 72 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  38. 38.Two trains, 150 m and 75 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?
  39. 39.Two trains, 140 m and 110 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?
  40. 40.Two trains, 180 m and 150 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?

Answer key

  1. 27
  2. 230
  3. 8
  4. 75
  5. 150
  6. 28
  7. 170
  8. 28
  9. 7
  10. 22
  11. 120
  12. 9
  13. 44
  14. 7
  15. 21
  16. 10
  17. 450
  18. 28
  19. 285
  20. 390
  21. 575
  22. 12
  23. 25
  24. 35
  25. 34
  26. 32
  27. 30
  28. 8
  29. 25
  30. 21
  31. 270
  32. 315
  33. 19
  34. 6
  35. 18
  36. 14
  37. 5
  38. 5
  39. 10
  40. 11

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