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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 211 · 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 225 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 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  3. 3.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  4. 4.A boat goes 100 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  5. 5.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  6. 6.Two trains, 150 m and 90 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?
  7. 7.Two trains, 210 m and 60 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?
  8. 8.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  9. 9.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  11. 11.Two trains, 80 m and 325 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?
  12. 12.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  13. 13.A boat goes 32 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 40 km upstream and come back?
  16. 16.Two trains, 170 m and 190 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?
  17. 17.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?
  18. 18.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  20. 20.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?
  21. 21.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 65 km upstream and come back?
  22. 22.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  24. 24.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  26. 26.A boat goes 22 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.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 96 km upstream and come back?
  28. 28.A boat goes 120 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.Two trains, 160 m and 170 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 45 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 20 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 30 km upstream and come back?
  34. 34.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 21 km upstream and come back?
  35. 35.Two trains, 100 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?
  36. 36.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  37. 37.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  39. 39.A boat goes 80 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  40. 40.Two trains, 140 m and 105 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?

Answer key

  1. 25
  2. 330
  3. 400
  4. 4
  5. 28
  6. 8
  7. 6
  8. 30
  9. 30
  10. 17
  11. 9
  12. 27
  13. 15
  14. 16
  15. 9
  16. 8
  17. 32
  18. 22
  19. 625
  20. 11
  21. 70
  22. 16
  23. 270
  24. 9
  25. 21
  26. 8
  27. 20
  28. 20
  29. 20
  30. 11
  31. 1
  32. 28
  33. 4
  34. 22
  35. 5
  36. 37
  37. 25
  38. 26
  39. 2
  40. 7

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