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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 307 · 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 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  2. 2.A boat goes 38 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  3. 3.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 120 km upstream and come back?
  4. 4.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  8. 8.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 100 km upstream and come back?
  9. 9.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  10. 10.Two trains, 150 m and 350 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?
  11. 11.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.Two trains, 60 m and 490 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?
  13. 13.A boat goes at 15 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 112 km upstream and come back?
  14. 14.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  15. 15.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  16. 16.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  17. 17.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  18. 18.A boat goes 76 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  19. 19.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  20. 20.A boat goes 42 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.Two trains, 90 m and 110 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?
  22. 22.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 78 km upstream and come back?
  23. 23.A boat goes at 20 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 90 km upstream and come back?
  24. 24.A boat goes at 11 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 48 km upstream and come back?
  25. 25.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.Two trains, 60 m and 300 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?
  27. 27.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?
  28. 28.Two trains, 140 m and 100 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?
  29. 29.Two trains, 160 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?
  30. 30.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 33 km upstream and come back?
  31. 31.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  33. 33.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  35. 35.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  36. 36.A boat goes 40 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  37. 37.Two trains, 210 m and 90 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?
  38. 38.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  39. 39.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  40. 40.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 26 km upstream and come back?

Answer key

  1. 23
  2. 5
  3. 50
  4. 9
  5. 17
  6. 5
  7. 170
  8. 60
  9. 750
  10. 10
  11. 7
  12. 11
  13. 15
  14. 20
  15. 27
  16. 16
  17. 90
  18. 5
  19. 425
  20. 18
  21. 5
  22. 32
  23. 12
  24. 11
  25. 30
  26. 9
  27. 12
  28. 8
  29. 9
  30. 36
  31. 11
  32. 35
  33. 21
  34. 285
  35. 25
  36. 2
  37. 12
  38. 38
  39. 225
  40. 28

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