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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 579 · 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 running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  2. 2.Two trains, 140 m and 60 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?
  3. 3.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  5. 5.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  7. 7.A boat goes 36 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  8. 8.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?
  9. 9.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  10. 10.Two trains, 250 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?
  11. 11.Two trains, 150 m and 75 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?
  12. 12.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 60 km upstream and come back?
  13. 13.A boat goes at 11 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 57 km upstream and come back?
  14. 14.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  15. 15.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  16. 16.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  17. 17.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 108 km upstream and come back?
  18. 18.Two trains, 80 m and 420 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?
  19. 19.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  20. 20.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  21. 21.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  22. 22.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  23. 23.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  24. 24.Two trains, 220 m and 165 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?
  25. 25.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  27. 27.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  28. 28.Two trains, 90 m and 210 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, 90 m and 450 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?
  30. 30.Two trains, 210 m and 340 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?
  31. 31.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?
  32. 32.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  34. 34.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  35. 35.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  37. 37.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  38. 38.A boat goes 46 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  39. 39.Two trains, 80 m and 95 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?
  40. 40.A boat goes 68 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 200
  2. 8
  3. 11
  4. 15
  5. 22
  6. 210
  7. 4
  8. 21
  9. 33
  10. 8
  11. 5
  12. 25
  13. 22
  14. 300
  15. 28
  16. 180
  17. 48
  18. 10
  19. 70
  20. 29
  21. 15
  22. 21
  23. 43
  24. 11
  25. 19
  26. 20
  27. 250
  28. 10
  29. 12
  30. 11
  31. 7
  32. 8
  33. 475
  34. 125
  35. 23
  36. 24
  37. 34
  38. 3
  39. 7
  40. 16

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