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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 453 · 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 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  2. 2.A boat goes 55 km downstream in 5 hours and 5 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  4. 4.Two trains, 130 m and 255 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?
  5. 5.A boat goes at 13 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 120 km upstream and come back?
  6. 6.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  8. 8.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  9. 9.A boat goes 88 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  11. 11.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  12. 12.A boat goes at 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 96 km upstream and come back?
  13. 13.A boat goes 92 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  15. 15.Two trains, 50 m and 355 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?
  16. 16.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  17. 17.A boat goes 56 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A boat goes 22 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  19. 19.A boat goes 63 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  20. 20.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes at 12 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 112 km upstream and come back?
  22. 22.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  23. 23.Two trains, 210 m and 150 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  24. 24.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  25. 25.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 24 km upstream and come back?
  26. 26.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  27. 27.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.Two trains, 100 m and 110 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?
  29. 29.Two trains, 200 m and 200 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?
  30. 30.Two trains, 110 m and 160 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  31. 31.A boat goes 95 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 16 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 87 km upstream and come back?
  34. 34.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  35. 35.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes 70 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  38. 38.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  39. 39.A boat goes at 15 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 80 km upstream and come back?
  40. 40.A boat goes at 11 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?

Answer key

  1. 23
  2. 6
  3. 255
  4. 11
  5. 65
  6. 24
  7. 11
  8. 625
  9. 18
  10. 405
  11. 220
  12. 14
  13. 4
  14. 17
  15. 9
  16. 110
  17. 11
  18. 3
  19. 5
  20. 13
  21. 21
  22. 25
  23. 8
  24. 36
  25. 5
  26. 29
  27. 10
  28. 7
  29. 8
  30. 9
  31. 18
  32. 16
  33. 32
  34. 200
  35. 18
  36. 13
  37. 22
  38. 35
  39. 12
  40. 22

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