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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 617 · 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 at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 105 km upstream and come back?
  2. 2.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  3. 3.Two trains, 80 m and 165 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?
  4. 4.A boat goes 24 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  7. 7.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  8. 8.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  9. 9.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  10. 10.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  11. 11.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  12. 12.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  13. 13.A boat goes 40 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  15. 15.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?
  16. 16.A boat goes 34 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  17. 17.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  18. 18.Two trains, 140 m and 100 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?
  19. 19.Two trains, 200 m and 220 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?
  20. 20.Two trains, 60 m and 120 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?
  21. 21.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  22. 22.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  23. 23.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  25. 25.Two trains, 230 m and 90 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?
  26. 26.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?
  27. 27.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  28. 28.Two trains, 80 m and 520 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?
  29. 29.A boat goes 54 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  31. 31.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  32. 32.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  35. 35.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes 34 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  37. 37.Two trains, 60 m and 160 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?
  38. 38.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?
  39. 39.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 36
  2. 17
  3. 7
  4. 6
  5. 27
  6. 26
  7. 600
  8. 27
  9. 120
  10. 26
  11. 35
  12. 26
  13. 2
  14. 15
  15. 9
  16. 1
  17. 27
  18. 6
  19. 12
  20. 9
  21. 600
  22. 18
  23. 20
  24. 525
  25. 8
  26. 28
  27. 24
  28. 12
  29. 16
  30. 16
  31. 24
  32. 22
  33. 15
  34. 22
  35. 21
  36. 4
  37. 11
  38. 8
  39. 7
  40. 21

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