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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 56 · 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 boat goes 45 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  2. 2.Two trains, 90 m and 130 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  3. 3.Two trains, 240 m and 210 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?
  4. 4.Two trains, 230 m and 155 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.Two trains, 210 m and 70 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?
  6. 6.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  8. 8.Two trains, 160 m and 120 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?
  9. 9.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  10. 10.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  11. 11.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  13. 13.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  14. 14.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.Two trains, 60 m and 90 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?
  16. 16.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  19. 19.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.Two trains, 130 m and 140 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?
  21. 21.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  22. 22.Two trains, 220 m and 95 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?
  23. 23.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes at 11 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 96 km upstream and come back?
  26. 26.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 105 km upstream and come back?
  27. 27.Two trains, 130 m and 170 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?
  28. 28.A boat goes 51 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  29. 29.A boat goes 75 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  30. 30.A boat goes at 14 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 120 km upstream and come back?
  31. 31.Two trains, 110 m and 115 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 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  33. 33.A boat goes 92 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.Two trains, 210 m and 330 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?
  35. 35.Two trains, 130 m and 410 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?
  36. 36.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  38. 38.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  39. 39.Two trains, 50 m and 160 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?
  40. 40.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?

Answer key

  1. 3
  2. 11
  3. 10
  4. 11
  5. 7
  6. 19
  7. 320
  8. 8
  9. 21
  10. 26
  11. 25
  12. 26
  13. 80
  14. 16
  15. 6
  16. 14
  17. 28
  18. 19
  19. 23
  20. 9
  21. 25
  22. 9
  23. 21
  24. 13
  25. 22
  26. 42
  27. 12
  28. 1
  29. 5
  30. 35
  31. 5
  32. 27
  33. 20
  34. 12
  35. 12
  36. 21
  37. 22
  38. 32
  39. 6
  40. 26

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