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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 510 · 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 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  4. 4.Two trains, 60 m and 270 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?
  5. 5.A boat goes 63 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes at 13 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  8. 8.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  9. 9.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.Two trains, 180 m and 270 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?
  11. 11.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  13. 13.Two trains, 170 m and 230 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?
  14. 14.Two trains, 230 m and 50 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?
  15. 15.A boat goes 92 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)?
  16. 16.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?
  17. 17.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  18. 18.A boat goes at 14 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 115 km upstream and come back?
  19. 19.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  20. 20.A boat goes 30 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  21. 21.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  23. 23.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  24. 24.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  25. 25.Two trains, 200 m and 130 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?
  26. 26.A boat goes 60 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes 54 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes 56 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  31. 31.Two trains, 70 m and 280 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?
  32. 32.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  33. 33.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  34. 34.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  35. 35.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes at 15 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?
  38. 38.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes 32 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  40. 40.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 28 km upstream and come back?

Answer key

  1. 29
  2. 6
  3. 650
  4. 11
  5. 17
  6. 10
  7. 26
  8. 200
  9. 6
  10. 9
  11. 9
  12. 22
  13. 10
  14. 8
  15. 19
  16. 7
  17. 190
  18. 28
  19. 38
  20. 4
  21. 7
  22. 180
  23. 140
  24. 21
  25. 11
  26. 3
  27. 5
  28. 3
  29. 21
  30. 4
  31. 10
  32. 120
  33. 37
  34. 31
  35. 28
  36. 12
  37. 15
  38. 17
  39. 3
  40. 9

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