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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 746 · 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.Two trains, 140 m and 210 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?
  2. 2.A boat goes 60 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  4. 4.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?
  5. 5.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 34 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  8. 8.A boat goes 51 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.Two trains, 120 m and 330 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?
  10. 10.A boat goes at 16 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 120 km upstream and come back?
  11. 11.Two trains, 110 m and 220 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?
  12. 12.A boat goes at 15 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 50 km upstream and come back?
  13. 13.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 108 km upstream and come back?
  14. 14.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  16. 16.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  18. 18.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  19. 19.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes 90 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  21. 21.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  22. 22.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  23. 23.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  24. 24.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  25. 25.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  27. 27.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  30. 30.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 240 m and 60 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?
  32. 32.Two trains, 90 m and 310 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?
  33. 33.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 120 m and 155 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?
  36. 36.A boat goes 36 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  37. 37.A boat goes 52 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  39. 39.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  40. 40.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 10
  2. 19
  3. 34
  4. 18
  5. 30
  6. 12
  7. 27
  8. 14
  9. 9
  10. 16
  11. 11
  12. 12
  13. 36
  14. 12
  15. 29
  16. 9
  17. 39
  18. 110
  19. 11
  20. 3
  21. 27
  22. 21
  23. 325
  24. 340
  25. 30
  26. 41
  27. 24
  28. 14
  29. 140
  30. 23
  31. 12
  32. 10
  33. 20
  34. 19
  35. 11
  36. 5
  37. 12
  38. 13
  39. 38
  40. 15

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