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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 137 · 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, 60 m and 240 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?
  2. 2.Two trains, 90 m and 70 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?
  3. 3.Two trains, 70 m and 230 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  4. 4.Two trains, 90 m and 90 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?
  5. 5.A boat goes 100 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  6. 6.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?
  7. 7.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  8. 8.A boat goes 36 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  9. 9.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 72 km upstream and come back?
  10. 10.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  11. 11.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  12. 12.A boat goes 32 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  13. 13.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  15. 15.A boat goes 66 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  16. 16.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 84 km upstream and come back?
  17. 17.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  18. 18.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  19. 19.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  20. 20.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  23. 23.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  24. 24.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes 40 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 98 km upstream and come back?
  27. 27.A boat goes 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  28. 28.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  29. 29.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  30. 30.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  31. 31.A boat goes 45 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  33. 33.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  34. 34.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  35. 35.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  36. 36.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?
  37. 37.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 39 km upstream and come back?
  38. 38.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  39. 39.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  40. 40.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?

Answer key

  1. 12
  2. 8
  3. 10
  4. 9
  5. 5
  6. 28
  7. 23
  8. 3
  9. 22
  10. 10
  11. 220
  12. 1
  13. 14
  14. 19
  15. 3
  16. 88
  17. 27
  18. 360
  19. 140
  20. 20
  21. 24
  22. 100
  23. 27
  24. 8
  25. 16
  26. 56
  27. 2
  28. 24
  29. 725
  30. 80
  31. 13
  32. 23
  33. 35
  34. 135
  35. 5
  36. 20
  37. 16
  38. 33
  39. 600
  40. 60

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