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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 913 · 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, 90 m and 295 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?
  2. 2.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  3. 3.A boat goes at 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 20 km upstream and come back?
  4. 4.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.Two trains, 200 m and 120 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?
  6. 6.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  7. 7.A boat goes 120 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  8. 8.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  11. 11.A boat goes at 14 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 27 km upstream and come back?
  12. 12.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  13. 13.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  14. 14.Two trains, 110 m and 310 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?
  15. 15.A boat goes at 14 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 75 km upstream and come back?
  16. 16.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  17. 17.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  18. 18.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 56 km upstream and come back?
  19. 19.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  20. 20.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  21. 21.Two trains, 80 m and 280 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?
  22. 22.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  25. 25.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.Two trains, 190 m and 210 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?
  27. 27.Two trains, 60 m and 65 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?
  28. 28.A boat goes 22 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  32. 32.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  33. 33.A boat goes 27 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  35. 35.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes at 18 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 81 km upstream and come back?
  37. 37.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  38. 38.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  39. 39.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  40. 40.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 11
  2. 20
  3. 6
  4. 25
  5. 8
  6. 26
  7. 4
  8. 6
  9. 9
  10. 140
  11. 28
  12. 135
  13. 16
  14. 12
  15. 28
  16. 34
  17. 27
  18. 21
  19. 375
  20. 120
  21. 12
  22. 7
  23. 8
  24. 17
  25. 24
  26. 8
  27. 5
  28. 3
  29. 24
  30. 18
  31. 24
  32. 500
  33. 1
  34. 37
  35. 12
  36. 12
  37. 24
  38. 580
  39. 150
  40. 7

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