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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 236 · 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 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  2. 2.A boat goes 42 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A boat goes at 19 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 72 km upstream and come back?
  4. 4.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  5. 5.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.Two trains, 100 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?
  7. 7.Two trains, 60 m and 150 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?
  8. 8.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  9. 9.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  10. 10.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  12. 12.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  13. 13.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  17. 17.Two trains, 100 m and 80 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?
  18. 18.Two trains, 170 m and 310 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?
  19. 19.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  20. 20.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  21. 21.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 100 km upstream and come back?
  22. 22.A boat goes 42 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  23. 23.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  24. 24.Two trains, 130 m and 150 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?
  25. 25.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  26. 26.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  27. 27.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  29. 29.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  30. 30.Two trains, 210 m and 70 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  31. 31.Two trains, 220 m and 140 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?
  32. 32.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  33. 33.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 44 km upstream and come back?
  34. 34.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 84 km upstream and come back?
  35. 35.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  36. 36.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  37. 37.A boat goes 28 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  38. 38.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  39. 39.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?

Answer key

  1. 28
  2. 19
  3. 38
  4. 17
  5. 12
  6. 7
  7. 7
  8. 20
  9. 17
  10. 7
  11. 275
  12. 43
  13. 14
  14. 10
  15. 8
  16. 50
  17. 6
  18. 12
  19. 29
  20. 520
  21. 35
  22. 3
  23. 110
  24. 8
  25. 170
  26. 15
  27. 30
  28. 240
  29. 36
  30. 8
  31. 8
  32. 32
  33. 24
  34. 20
  35. 90
  36. 28
  37. 3
  38. 105
  39. 19
  40. 70

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