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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 792 · 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 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  2. 2.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  3. 3.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?
  4. 4.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  6. 6.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  7. 7.Two trains, 100 m and 285 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?
  8. 8.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 12 km upstream and come back?
  9. 9.A boat goes at 18 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 70 km upstream and come back?
  10. 10.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  11. 11.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  12. 12.Two trains, 80 m and 70 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?
  13. 13.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes 75 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  15. 15.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  16. 16.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.Two trains, 90 m and 190 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?
  19. 19.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 45 km upstream and come back?
  20. 20.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  21. 21.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  22. 22.Two trains, 190 m and 110 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?
  23. 23.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  24. 24.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  26. 26.Two trains, 210 m and 60 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?
  27. 27.Two trains, 160 m and 50 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?
  28. 28.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  29. 29.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  30. 30.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?
  31. 31.A boat goes 54 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  32. 32.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  33. 33.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.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)?
  35. 35.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes 36 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A boat goes at 15 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 25 km upstream and come back?
  39. 39.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  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. 22
  2. 150
  3. 10
  4. 13
  5. 34
  6. 375
  7. 11
  8. 5
  9. 72
  10. 27
  11. 34
  12. 5
  13. 28
  14. 3
  15. 16
  16. 9
  17. 11
  18. 7
  19. 8
  20. 31
  21. 29
  22. 6
  23. 35
  24. 6
  25. 520
  26. 9
  27. 7
  28. 440
  29. 17
  30. 28
  31. 1
  32. 18
  33. 8
  34. 10
  35. 8
  36. 13
  37. 16
  38. 6
  39. 29
  40. 28

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