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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 622 · 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 train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  3. 3.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  4. 4.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 66 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.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)?
  7. 7.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  8. 8.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.Two trains, 190 m and 130 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  10. 10.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.Two trains, 240 m and 180 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  13. 13.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  15. 15.Two trains, 250 m and 70 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  16. 16.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  17. 17.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  18. 18.A boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 32 km upstream and come back?
  19. 19.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?
  20. 20.A boat goes at 20 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 64 km upstream and come back?
  21. 21.A boat goes 32 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A boat goes 50 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  23. 23.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.Two trains, 80 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?
  25. 25.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  26. 26.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  27. 27.A boat goes 80 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  29. 29.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  30. 30.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 72 km upstream and come back?
  31. 31.A boat goes at 14 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 80 km upstream and come back?
  32. 32.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  33. 33.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  34. 34.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  35. 35.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  36. 36.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  37. 37.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  38. 38.A boat goes at 15 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 88 km upstream and come back?
  39. 39.A boat goes 42 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  40. 40.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?

Answer key

  1. 10
  2. 21
  3. 320
  4. 9
  5. 17
  6. 5
  7. 435
  8. 17
  9. 8
  10. 18
  11. 30
  12. 12
  13. 19
  14. 480
  15. 8
  16. 23
  17. 24
  18. 10
  19. 16
  20. 10
  21. 13
  22. 3
  23. 24
  24. 5
  25. 13
  26. 32
  27. 11
  28. 425
  29. 270
  30. 24
  31. 14
  32. 525
  33. 28
  34. 105
  35. 42
  36. 23
  37. 135
  38. 15
  39. 5
  40. 20

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