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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 711 · 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, 130 m and 255 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?
  2. 2.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  3. 3.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  4. 4.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  7. 7.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes 18 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  9. 9.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes 80 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  12. 12.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  13. 13.Two trains, 120 m and 195 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?
  14. 14.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  15. 15.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes 36 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  17. 17.Two trains, 120 m and 150 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?
  18. 18.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 11 km upstream and come back?
  19. 19.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  20. 20.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  22. 22.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  23. 23.A boat goes 55 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  25. 25.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  26. 26.A boat goes 84 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  30. 30.Two trains, 110 m and 190 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?
  31. 31.A boat goes 96 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  33. 33.A boat goes 33 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  34. 34.A boat goes 57 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  36. 36.Two trains, 50 m and 50 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  37. 37.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 42 km upstream and come back?
  38. 38.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?

Answer key

  1. 11
  2. 28
  3. 16
  4. 27
  5. 10
  6. 25
  7. 29
  8. 1
  9. 20
  10. 19
  11. 33
  12. 32
  13. 9
  14. 520
  15. 27
  16. 2
  17. 9
  18. 12
  19. 160
  20. 10
  21. 30
  22. 18
  23. 8
  24. 30
  25. 18
  26. 2
  27. 12
  28. 8
  29. 130
  30. 6
  31. 4
  32. 22
  33. 3
  34. 18
  35. 475
  36. 4
  37. 10
  38. 22
  39. 25
  40. 28

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