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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 768 · 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.

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  1. 1.Two trains, 100 m and 125 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, 60 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?
  3. 3.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  4. 4.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  5. 5.A boat goes at 11 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?
  6. 6.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 60 km upstream and come back?
  7. 7.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  8. 8.Two trains, 70 m and 290 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?
  9. 9.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 88 km upstream and come back?
  10. 10.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  11. 11.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  12. 12.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  13. 13.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  14. 14.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  16. 16.Two trains, 150 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?
  17. 17.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 34 km upstream and come back?
  18. 18.Two trains, 70 m and 290 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?
  19. 19.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 63 km upstream and come back?
  20. 20.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  22. 22.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 21 km upstream and come back?
  23. 23.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  24. 24.A boat goes at 13 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 60 km upstream and come back?
  25. 25.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  26. 26.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  27. 27.Two trains, 150 m and 120 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 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.Two trains, 150 m and 130 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?
  30. 30.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  31. 31.A boat goes 40 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)?
  32. 32.A boat goes 28 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  34. 34.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  35. 35.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  36. 36.A boat goes 70 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  37. 37.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  39. 39.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes 96 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 9
  2. 4
  3. 60
  4. 26
  5. 22
  6. 25
  7. 150
  8. 12
  9. 33
  10. 19
  11. 28
  12. 460
  13. 575
  14. 17
  15. 32
  16. 12
  17. 36
  18. 12
  19. 12
  20. 16
  21. 42
  22. 10
  23. 15
  24. 13
  25. 120
  26. 41
  27. 9
  28. 14
  29. 7
  30. 200
  31. 17
  32. 6
  33. 26
  34. 37
  35. 34
  36. 1
  37. 19
  38. 650
  39. 9
  40. 4

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