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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 527 · 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 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  2. 2.Two trains, 50 m and 230 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?
  3. 3.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  5. 5.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  6. 6.A boat goes 28 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  8. 8.Two trains, 70 m and 170 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?
  9. 9.Two trains, 220 m and 100 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?
  10. 10.Two trains, 200 m and 50 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?
  11. 11.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.Two trains, 100 m and 180 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?
  13. 13.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.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)?
  15. 15.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes 40 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  18. 18.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 13 km upstream and come back?
  20. 20.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  21. 21.A boat goes at 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 112 km upstream and come back?
  22. 22.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  23. 23.A boat goes 27 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  24. 24.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  25. 25.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  26. 26.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  27. 27.A boat goes 75 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.Two trains, 90 m and 150 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?
  30. 30.Two trains, 90 m and 160 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?
  31. 31.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 84 km upstream and come back?
  32. 32.A boat goes at 20 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 102 km upstream and come back?
  33. 33.Two trains, 90 m and 225 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?
  34. 34.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  35. 35.Two trains, 120 m and 90 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 running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  37. 37.A boat goes 40 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  38. 38.Two trains, 70 m and 70 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?
  39. 39.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.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 31 km upstream and come back?

Answer key

  1. 220
  2. 8
  3. 27
  4. 36
  5. 175
  6. 10
  7. 100
  8. 6
  9. 8
  10. 5
  11. 17
  12. 8
  13. 11
  14. 16
  15. 23
  16. 20
  17. 3
  18. 5
  19. 14
  20. 17
  21. 60
  22. 230
  23. 1
  24. 315
  25. 20
  26. 26
  27. 13
  28. 24
  29. 8
  30. 5
  31. 35
  32. 20
  33. 7
  34. 15
  35. 7
  36. 180
  37. 2
  38. 4
  39. 26
  40. 32

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