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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 444 · 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.Two trains, 70 m and 105 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?
  2. 2.Two trains, 110 m and 160 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?
  3. 3.Two trains, 120 m and 80 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?
  4. 4.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  5. 5.A boat goes 33 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  7. 7.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  8. 8.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  9. 9.A boat goes 50 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes 34 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  12. 12.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  13. 13.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  15. 15.A boat goes at 13 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 69 km upstream and come back?
  16. 16.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  17. 17.A boat goes at 18 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 96 km upstream and come back?
  18. 18.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  19. 19.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  21. 21.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  22. 22.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  23. 23.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  25. 25.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 98 km upstream and come back?
  27. 27.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 130 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 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  31. 31.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  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 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  34. 34.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  35. 35.Two trains, 230 m and 70 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?
  36. 36.Two trains, 90 m and 260 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?
  37. 37.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes at 18 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 56 km upstream and come back?
  39. 39.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  40. 40.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)?

Answer key

  1. 5
  2. 9
  3. 8
  4. 340
  5. 7
  6. 32
  7. 16
  8. 23
  9. 8
  10. 16
  11. 3
  12. 480
  13. 14
  14. 650
  15. 26
  16. 90
  17. 27
  18. 18
  19. 14
  20. 135
  21. 11
  22. 240
  23. 23
  24. 14
  25. 9
  26. 56
  27. 27
  28. 30
  29. 13
  30. 5
  31. 625
  32. 8
  33. 33
  34. 20
  35. 12
  36. 10
  37. 10
  38. 9
  39. 475
  40. 3

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