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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 485 · 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 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  3. 3.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  4. 4.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 26 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  6. 6.Two trains, 90 m and 155 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?
  7. 7.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  8. 8.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  9. 9.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  11. 11.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  12. 12.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 8 km upstream and come back?
  13. 13.Two trains, 110 m and 250 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?
  14. 14.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  16. 16.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 28 km upstream and come back?
  17. 17.A boat goes 40 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  18. 18.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 96 km upstream and come back?
  19. 19.Two trains, 160 m and 50 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  20. 20.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  21. 21.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  22. 22.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  23. 23.Two trains, 80 m and 170 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?
  24. 24.Two trains, 240 m and 75 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?
  25. 25.A boat goes at 16 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 93 km upstream and come back?
  26. 26.Two trains, 60 m and 270 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?
  27. 27.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  28. 28.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  30. 30.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 24 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  32. 32.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  33. 33.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)?
  34. 34.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?
  35. 35.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  36. 36.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  37. 37.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  38. 38.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 120 km upstream and come back?
  39. 39.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  40. 40.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 27
  2. 180
  3. 270
  4. 19
  5. 1
  6. 7
  7. 220
  8. 180
  9. 6
  10. 60
  11. 300
  12. 5
  13. 12
  14. 20
  15. 34
  16. 9
  17. 2
  18. 28
  19. 6
  20. 22
  21. 34
  22. 15
  23. 5
  24. 9
  25. 96
  26. 11
  27. 22
  28. 10
  29. 27
  30. 20
  31. 1
  32. 315
  33. 4
  34. 12
  35. 15
  36. 140
  37. 18
  38. 42
  39. 20
  40. 5

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