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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 434 · 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 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  2. 2.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  3. 3.A boat goes 69 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.Two trains, 70 m and 350 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?
  5. 5.Two trains, 150 m and 130 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?
  6. 6.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 114 km upstream and come back?
  7. 7.Two trains, 110 m and 90 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?
  8. 8.A boat goes at 18 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 80 km upstream and come back?
  9. 9.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  10. 10.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  11. 11.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes at 19 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 96 km upstream and come back?
  13. 13.Two trains, 160 m and 200 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?
  14. 14.Two trains, 100 m and 500 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?
  15. 15.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  18. 18.A boat goes 80 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  19. 19.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  21. 21.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 108 km upstream and come back?
  22. 22.A boat goes at 20 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 111 km upstream and come back?
  23. 23.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  24. 24.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes 48 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  26. 26.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 60 m and 140 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  28. 28.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  30. 30.Two trains, 240 m and 145 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?
  31. 31.Two trains, 70 m and 330 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  32. 32.Two trains, 60 m and 180 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?
  33. 33.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  34. 34.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  35. 35.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  36. 36.Two trains, 60 m and 220 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?
  37. 37.A boat goes at 16 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 31 km upstream and come back?
  38. 38.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.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 72 km upstream and come back?
  40. 40.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 90
  2. 34
  3. 19
  4. 12
  5. 8
  6. 44
  7. 8
  8. 9
  9. 23
  10. 180
  11. 17
  12. 19
  13. 12
  14. 12
  15. 20
  16. 19
  17. 13
  18. 3
  19. 12
  20. 220
  21. 33
  22. 40
  23. 32
  24. 9
  25. 1
  26. 26
  27. 5
  28. 6
  29. 7
  30. 11
  31. 10
  32. 6
  33. 60
  34. 13
  35. 10
  36. 8
  37. 32
  38. 13
  39. 32
  40. 18

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