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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 637 · 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 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  2. 2.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 119 km upstream and come back?
  3. 3.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 18 km upstream and come back?
  4. 4.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  5. 5.Two trains, 60 m and 60 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?
  6. 6.A boat goes 70 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  7. 7.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  8. 8.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  9. 9.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  10. 10.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  11. 11.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 16 km upstream and come back?
  12. 12.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 60 km upstream and come back?
  13. 13.Two trains, 150 m and 200 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?
  14. 14.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  16. 16.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  17. 17.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  18. 18.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  19. 19.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.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 60 km upstream and come back?
  22. 22.Two trains, 130 m and 80 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?
  23. 23.A boat goes at 16 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 96 km upstream and come back?
  24. 24.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  26. 26.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  27. 27.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  28. 28.Two trains, 60 m and 480 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 boat goes 90 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.Two trains, 130 m and 115 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?
  31. 31.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  32. 32.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 56 km upstream and come back?
  33. 33.A boat goes 20 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  34. 34.Two trains, 170 m and 70 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 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  36. 36.A boat goes at 17 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 93 km upstream and come back?
  37. 37.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  38. 38.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  39. 39.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.Two trains, 100 m and 100 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?

Answer key

  1. 31
  2. 126
  3. 10
  4. 200
  5. 6
  6. 2
  7. 26
  8. 21
  9. 17
  10. 20
  11. 10
  12. 21
  13. 10
  14. 28
  15. 375
  16. 375
  17. 20
  18. 13
  19. 7
  20. 10
  21. 36
  22. 6
  23. 16
  24. 17
  25. 280
  26. 360
  27. 360
  28. 12
  29. 17
  30. 7
  31. 70
  32. 11
  33. 1
  34. 12
  35. 22
  36. 34
  37. 13
  38. 175
  39. 20
  40. 8

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