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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 420 · 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 boat goes at 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 96 km upstream and come back?
  2. 2.Two trains, 120 m and 240 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?
  3. 3.A boat goes at 14 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 75 km upstream and come back?
  4. 4.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.Two trains, 90 m and 330 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.A boat goes 22 km downstream in 2 hours and 2 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  9. 9.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.Two trains, 80 m and 165 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?
  12. 12.Two trains, 90 m and 315 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?
  13. 13.Two trains, 160 m and 115 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 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  15. 15.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.Two trains, 70 m and 130 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 running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  18. 18.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  19. 19.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  20. 20.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 84 km upstream and come back?
  21. 21.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  22. 22.Two trains, 180 m and 300 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  23. 23.A boat goes at 20 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 120 km upstream and come back?
  24. 24.Two trains, 90 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?
  25. 25.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 44 km upstream and come back?
  26. 26.A boat goes 45 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  27. 27.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  28. 28.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  29. 29.A boat goes 32 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  30. 30.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 45 km upstream and come back?
  31. 31.Two trains, 50 m and 270 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?
  32. 32.Two trains, 110 m and 90 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?
  33. 33.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  34. 34.Two trains, 60 m and 220 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?
  35. 35.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  37. 37.A boat goes 75 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  38. 38.A boat goes 88 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 42 km upstream and come back?
  40. 40.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?

Answer key

  1. 14
  2. 12
  3. 28
  4. 26
  5. 12
  6. 6
  7. 30
  8. 50
  9. 8
  10. 13
  11. 7
  12. 9
  13. 11
  14. 16
  15. 5
  16. 10
  17. 150
  18. 27
  19. 24
  20. 45
  21. 450
  22. 12
  23. 16
  24. 6
  25. 13
  26. 4
  27. 750
  28. 16
  29. 1
  30. 50
  31. 8
  32. 8
  33. 16
  34. 8
  35. 16
  36. 390
  37. 3
  38. 20
  39. 20
  40. 160

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