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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 140 · 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 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  2. 2.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  4. 4.A boat goes at 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 75 km upstream and come back?
  5. 5.Two trains, 200 m and 160 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?
  6. 6.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  11. 11.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 35 km upstream and come back?
  12. 12.Two trains, 90 m and 160 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  13. 13.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 36 km upstream and come back?
  14. 14.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  15. 15.A boat goes 60 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.Two trains, 90 m and 270 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  17. 17.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  18. 18.Two trains, 50 m and 160 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?
  19. 19.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  20. 20.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  21. 21.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  22. 22.A boat goes 115 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  23. 23.Two trains, 130 m and 80 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  24. 24.Two trains, 170 m and 190 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?
  25. 25.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  26. 26.Two trains, 90 m and 230 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?
  27. 27.Two trains, 150 m and 75 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?
  28. 28.Two trains, 60 m and 480 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?
  29. 29.A boat goes at 7 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?
  30. 30.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  31. 31.A boat goes 36 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  34. 34.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  35. 35.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  36. 36.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  37. 37.Two trains, 100 m and 50 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?
  38. 38.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  39. 39.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 44 km upstream and come back?
  40. 40.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?

Answer key

  1. 19
  2. 28
  3. 31
  4. 78
  5. 8
  6. 27
  7. 25
  8. 25
  9. 17
  10. 315
  11. 12
  12. 10
  13. 15
  14. 360
  15. 12
  16. 12
  17. 26
  18. 7
  19. 60
  20. 39
  21. 39
  22. 3
  23. 6
  24. 8
  25. 18
  26. 8
  27. 9
  28. 12
  29. 35
  30. 330
  31. 2
  32. 23
  33. 34
  34. 31
  35. 500
  36. 120
  37. 5
  38. 255
  39. 13
  40. 8

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