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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 66 · 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, 110 m and 115 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?
  2. 2.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 16 km upstream and come back?
  3. 3.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes 55 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  6. 6.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  7. 7.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 55 km upstream and come back?
  9. 9.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  10. 10.A boat goes 30 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  12. 12.Two trains, 220 m and 260 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?
  13. 13.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.Two trains, 90 m and 85 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?
  15. 15.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  16. 16.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  17. 17.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes 38 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  19. 19.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  20. 20.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  24. 24.Two trains, 220 m and 230 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?
  25. 25.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  26. 26.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  27. 27.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  28. 28.A boat goes at 14 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?
  29. 29.Two trains, 200 m and 100 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  30. 30.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 50 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  33. 33.A boat goes 32 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  35. 35.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  36. 36.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  37. 37.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 105 km upstream and come back?
  38. 38.Two trains, 110 m and 310 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  39. 39.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  40. 40.Two trains, 110 m and 65 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?

Answer key

  1. 5
  2. 6
  3. 28
  4. 7
  5. 225
  6. 150
  7. 22
  8. 16
  9. 20
  10. 7
  11. 90
  12. 12
  13. 13
  14. 7
  15. 33
  16. 27
  17. 22
  18. 1
  19. 17
  20. 15
  21. 29
  22. 8
  23. 23
  24. 10
  25. 625
  26. 70
  27. 20
  28. 14
  29. 10
  30. 7
  31. 5
  32. 20
  33. 14
  34. 33
  35. 330
  36. 25
  37. 50
  38. 12
  39. 17
  40. 5

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