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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 564 · 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.Two trains, 140 m and 160 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?
  2. 2.A boat goes 80 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.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 36 km upstream and come back?
  4. 4.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes at 19 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 105 km upstream and come back?
  6. 6.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  7. 7.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  9. 9.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  10. 10.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  12. 12.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  13. 13.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  14. 14.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  15. 15.Two trains, 180 m and 140 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?
  16. 16.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  17. 17.A boat goes 110 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  18. 18.A boat goes 80 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  19. 19.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  20. 20.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 99 km upstream and come back?
  21. 21.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)?
  22. 22.A boat goes 16 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  24. 24.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.Two trains, 150 m and 90 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?
  26. 26.Two trains, 150 m and 270 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?
  27. 27.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  30. 30.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.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 40 km upstream and come back?
  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 boat goes 24 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)?
  36. 36.Two trains, 90 m and 135 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?
  37. 37.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  38. 38.Two trains, 110 m and 115 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?
  39. 39.A boat goes 95 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A boat goes at 14 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?

Answer key

  1. 10
  2. 15
  3. 10
  4. 27
  5. 38
  6. 17
  7. 23
  8. 13
  9. 26
  10. 12
  11. 250
  12. 18
  13. 37
  14. 17
  15. 8
  16. 25
  17. 2
  18. 3
  19. 19
  20. 42
  21. 10
  22. 6
  23. 32
  24. 5
  25. 12
  26. 12
  27. 7
  28. 28
  29. 180
  30. 18
  31. 29
  32. 22
  33. 25
  34. 225
  35. 9
  36. 9
  37. 32
  38. 9
  39. 18
  40. 14

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