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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 292 · 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, 220 m and 180 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?
  2. 2.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  3. 3.Two trains, 70 m and 260 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?
  4. 4.A boat goes 32 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  5. 5.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  6. 6.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  7. 7.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  8. 8.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  10. 10.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  11. 11.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.Two trains, 140 m and 220 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?
  13. 13.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  14. 14.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  15. 15.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  16. 16.A boat goes 68 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  17. 17.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?
  18. 18.A boat goes 65 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  20. 20.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  23. 23.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 50 km upstream and come back?
  24. 24.A boat goes at 17 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 84 km upstream and come back?
  25. 25.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  27. 27.Two trains, 190 m and 125 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?
  28. 28.A boat goes at 20 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 75 km upstream and come back?
  29. 29.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  30. 30.Two trains, 120 m and 360 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?
  31. 31.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  32. 32.A boat goes at 19 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 111 km upstream and come back?
  33. 33.A boat goes 110 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  35. 35.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  36. 36.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  37. 37.A boat goes 30 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)?
  38. 38.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  40. 40.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?

Answer key

  1. 10
  2. 225
  3. 11
  4. 1
  5. 175
  6. 36
  7. 29
  8. 14
  9. 150
  10. 425
  11. 8
  12. 8
  13. 12
  14. 25
  15. 390
  16. 1
  17. 28
  18. 9
  19. 30
  20. 18
  21. 6
  22. 20
  23. 30
  24. 17
  25. 16
  26. 21
  27. 7
  28. 8
  29. 375
  30. 12
  31. 43
  32. 114
  33. 18
  34. 13
  35. 31
  36. 29
  37. 11
  38. 9
  39. 26
  40. 31

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