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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 557 · 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 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  2. 2.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  3. 3.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  4. 4.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.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 11 km upstream and come back?
  6. 6.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  7. 7.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  9. 9.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)?
  10. 10.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?
  11. 11.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  12. 12.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  13. 13.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  14. 14.A boat goes 57 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  16. 16.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  17. 17.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  18. 18.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  19. 19.A boat goes 55 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  20. 20.A boat goes 60 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  22. 22.A boat goes 75 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  23. 23.Two trains, 180 m and 240 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  24. 24.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 96 km upstream and come back?
  25. 25.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  26. 26.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  28. 28.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  29. 29.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  30. 30.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  31. 31.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  33. 33.A boat goes 84 km downstream in 4 hours and 76 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  34. 34.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 63 km upstream and come back?
  35. 35.A boat goes at 19 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 105 km upstream and come back?
  36. 36.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  39. 39.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  40. 40.A boat goes 48 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 25
  2. 24
  3. 90
  4. 23
  5. 12
  6. 39
  7. 26
  8. 600
  9. 15
  10. 20
  11. 31
  12. 19
  13. 36
  14. 14
  15. 625
  16. 28
  17. 33
  18. 90
  19. 1
  20. 8
  21. 32
  22. 2
  23. 12
  24. 60
  25. 40
  26. 21
  27. 10
  28. 375
  29. 360
  30. 32
  31. 26
  32. 130
  33. 1
  34. 30
  35. 38
  36. 9
  37. 11
  38. 35
  39. 420
  40. 1

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