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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 442 · 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 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  2. 2.A boat goes 30 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  3. 3.A boat goes at 12 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 63 km upstream and come back?
  4. 4.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  5. 5.Two trains, 160 m and 190 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, 150 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?
  7. 7.A boat goes 57 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  8. 8.A boat goes 42 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 90 km upstream and come back?
  10. 10.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  11. 11.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  13. 13.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  14. 14.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  15. 15.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 40 km upstream and come back?
  16. 16.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 70 km upstream and come back?
  17. 17.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  19. 19.Two trains, 150 m and 150 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?
  20. 20.A boat goes 14 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  21. 21.A boat goes 45 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  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 train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  24. 24.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  26. 26.A boat goes at 14 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 40 km upstream and come back?
  27. 27.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 23 km upstream and come back?
  29. 29.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  30. 30.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 39 km upstream and come back?
  31. 31.Two trains, 50 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?
  32. 32.Two trains, 110 m and 135 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?
  33. 33.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?
  34. 34.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  35. 35.A train 70 m long runs at 36 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 18 seconds. How long is the train (in metres)?
  37. 37.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?
  38. 38.A boat goes at 18 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 66 km upstream and come back?
  39. 39.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  40. 40.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 140
  2. 4
  3. 24
  4. 21
  5. 10
  6. 11
  7. 5
  8. 18
  9. 16
  10. 28
  11. 21
  12. 125
  13. 120
  14. 27
  15. 9
  16. 24
  17. 25
  18. 225
  19. 10
  20. 1
  21. 14
  22. 6
  23. 120
  24. 14
  25. 675
  26. 7
  27. 26
  28. 24
  29. 43
  30. 42
  31. 6
  32. 7
  33. 11
  34. 225
  35. 7
  36. 180
  37. 28
  38. 24
  39. 20
  40. 26

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