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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 875 · 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 255 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 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 96 km upstream and come back?
  3. 3.A boat goes 21 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  4. 4.A boat goes 22 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  5. 5.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 70 km upstream and come back?
  7. 7.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  8. 8.Two trains, 80 m and 160 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?
  9. 9.Two trains, 50 m and 150 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?
  10. 10.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.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?
  12. 12.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  14. 14.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  16. 16.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes at 15 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 108 km upstream and come back?
  18. 18.Two trains, 140 m and 190 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?
  19. 19.Two trains, 70 m and 280 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?
  20. 20.A boat goes 110 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  21. 21.Two trains, 80 m and 60 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?
  22. 22.A boat goes at 15 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 72 km upstream and come back?
  23. 23.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  24. 24.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  25. 25.Two trains, 90 m and 315 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  26. 26.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  27. 27.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  28. 28.Two trains, 70 m and 290 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  29. 29.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  30. 30.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  31. 31.A boat goes 30 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  32. 32.A boat goes at 15 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 116 km upstream and come back?
  33. 33.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  34. 34.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 51 km upstream and come back?
  36. 36.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.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 90 km upstream and come back?
  38. 38.A boat goes 56 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  39. 39.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?

Answer key

  1. 9
  2. 14
  3. 1
  4. 4
  5. 8
  6. 24
  7. 70
  8. 8
  9. 4
  10. 9
  11. 16
  12. 27
  13. 33
  14. 9
  15. 18
  16. 16
  17. 40
  18. 11
  19. 10
  20. 4
  21. 4
  22. 10
  23. 140
  24. 170
  25. 9
  26. 26
  27. 540
  28. 8
  29. 19
  30. 270
  31. 2
  32. 120
  33. 24
  34. 24
  35. 20
  36. 11
  37. 54
  38. 4
  39. 29
  40. 90

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