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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 599 · 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, 100 m and 100 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?
  2. 2.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.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?
  4. 4.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  5. 5.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  6. 6.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  7. 7.A boat goes at 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 100 km upstream and come back?
  8. 8.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  10. 10.A boat goes 24 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  11. 11.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  12. 12.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  13. 13.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  15. 15.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  16. 16.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  17. 17.Two trains, 230 m and 85 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?
  18. 18.Two trains, 70 m and 425 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?
  19. 19.Two trains, 120 m and 60 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?
  20. 20.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  21. 21.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  22. 22.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.Two trains, 120 m and 90 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  24. 24.A boat goes 40 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  26. 26.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  29. 29.A boat goes 21 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  30. 30.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?
  31. 31.A boat goes 50 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  34. 34.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes 28 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  36. 36.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  39. 39.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  40. 40.Two trains, 180 m and 100 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?

Answer key

  1. 10
  2. 18
  3. 36
  4. 315
  5. 26
  6. 19
  7. 104
  8. 14
  9. 435
  10. 1
  11. 675
  12. 90
  13. 9
  14. 24
  15. 34
  16. 150
  17. 7
  18. 11
  19. 9
  20. 20
  21. 25
  22. 11
  23. 7
  24. 18
  25. 16
  26. 23
  27. 17
  28. 3
  29. 1
  30. 9
  31. 2
  32. 5
  33. 24
  34. 20
  35. 3
  36. 22
  37. 30
  38. 20
  39. 23
  40. 8

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