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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 80 · 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 running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  2. 2.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  3. 3.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  4. 4.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  5. 5.Two trains, 110 m and 240 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?
  6. 6.Two trains, 80 m and 130 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?
  7. 7.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 33 km upstream and come back?
  8. 8.A boat goes 88 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  9. 9.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  10. 10.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 42 km upstream and come back?
  11. 11.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?
  12. 12.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.Two trains, 80 m and 195 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  14. 14.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  15. 15.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 112 km upstream and come back?
  16. 16.Two trains, 180 m and 120 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  17. 17.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  18. 18.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  19. 19.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  20. 20.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  21. 21.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  22. 22.Two trains, 100 m and 215 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?
  23. 23.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  24. 24.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  25. 25.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  26. 26.A boat goes at 20 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 108 km upstream and come back?
  27. 27.Two trains, 80 m and 220 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  28. 28.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)?
  29. 29.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  30. 30.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 24 km upstream and come back?
  31. 31.A boat goes 66 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  32. 32.Two trains, 100 m and 80 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?
  33. 33.Two trains, 170 m and 75 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?
  34. 34.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 140 m and 130 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?
  36. 36.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  37. 37.Two trains, 70 m and 90 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?
  38. 38.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.Two trains, 250 m and 80 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?
  40. 40.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 150
  2. 32
  3. 14
  4. 20
  5. 10
  6. 6
  7. 14
  8. 4
  9. 33
  10. 10
  11. 13
  12. 26
  13. 11
  14. 22
  15. 42
  16. 12
  17. 130
  18. 34
  19. 34
  20. 240
  21. 520
  22. 9
  23. 105
  24. 22
  25. 250
  26. 30
  27. 12
  28. 4
  29. 19
  30. 10
  31. 3
  32. 6
  33. 7
  34. 9
  35. 9
  36. 30
  37. 4
  38. 21
  39. 11
  40. 20

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