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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 646 · 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 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  2. 2.Two trains, 160 m and 260 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?
  3. 3.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.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 88 km upstream and come back?
  5. 5.Two trains, 60 m and 180 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?
  6. 6.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  8. 8.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 36 km upstream and come back?
  10. 10.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.Two trains, 50 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?
  12. 12.A boat goes 72 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.Two trains, 210 m and 190 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  14. 14.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 96 km upstream and come back?
  15. 15.Two trains, 160 m and 200 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?
  16. 16.Two trains, 50 m and 190 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 train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 100 m and 120 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?
  20. 20.Two trains, 200 m and 295 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?
  21. 21.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  22. 22.Two trains, 100 m and 50 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?
  23. 23.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 72 km upstream and come back?
  24. 24.A boat goes at 20 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 75 km upstream and come back?
  25. 25.Two trains, 80 m and 190 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?
  26. 26.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 150 m and 75 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  28. 28.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.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?
  30. 30.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  31. 31.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 80 km upstream and come back?
  32. 32.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  34. 34.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  35. 35.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 105 km upstream and come back?
  36. 36.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  37. 37.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  39. 39.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  40. 40.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 108 km upstream and come back?

Answer key

  1. 38
  2. 12
  3. 10
  4. 55
  5. 8
  6. 26
  7. 24
  8. 27
  9. 12
  10. 12
  11. 7
  12. 16
  13. 10
  14. 24
  15. 12
  16. 12
  17. 14
  18. 29
  19. 11
  20. 11
  21. 26
  22. 6
  23. 45
  24. 8
  25. 9
  26. 15
  27. 5
  28. 10
  29. 12
  30. 130
  31. 28
  32. 10
  33. 80
  34. 34
  35. 36
  36. 400
  37. 22
  38. 240
  39. 28
  40. 120

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