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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 633 · 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 11 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 60 km upstream and come back?
  2. 2.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  3. 3.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.Two trains, 190 m and 60 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?
  5. 5.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  6. 6.A boat goes 45 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  7. 7.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  8. 8.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  9. 9.A boat goes 45 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)?
  10. 10.A boat goes 56 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.Two trains, 170 m and 180 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?
  12. 12.A boat goes 36 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  13. 13.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  14. 14.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  15. 15.A boat goes 60 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  16. 16.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  17. 17.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  19. 19.Two trains, 90 m and 230 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?
  20. 20.Two trains, 90 m and 405 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?
  21. 21.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  22. 22.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  23. 23.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  24. 24.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes 33 km downstream in 3 hours and 3 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.Two trains, 160 m and 320 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?
  27. 27.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  31. 31.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  32. 32.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 180 m and 180 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  36. 36.Two trains, 70 m and 290 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?
  37. 37.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.Two trains, 60 m and 65 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?
  39. 39.A boat goes 66 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?

Answer key

  1. 11
  2. 27
  3. 20
  4. 10
  5. 18
  6. 2
  7. 130
  8. 405
  9. 7
  10. 10
  11. 10
  12. 5
  13. 150
  14. 280
  15. 4
  16. 16
  17. 16
  18. 24
  19. 8
  20. 11
  21. 420
  22. 350
  23. 24
  24. 7
  25. 6
  26. 12
  27. 10
  28. 23
  29. 28
  30. 240
  31. 27
  32. 21
  33. 8
  34. 26
  35. 8
  36. 9
  37. 29
  38. 5
  39. 20
  40. 24

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