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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 921 · 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 9 seconds. How long is the train (in metres)?
  2. 2.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 66 km upstream and come back?
  4. 4.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 110 km upstream and come back?
  6. 6.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.Two trains, 230 m and 155 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?
  9. 9.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  10. 10.Two trains, 60 m and 270 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?
  11. 11.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  12. 12.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  13. 13.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  14. 14.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  15. 15.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)?
  16. 16.A boat goes 32 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  17. 17.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 105 km upstream and come back?
  18. 18.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  19. 19.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  20. 20.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  21. 21.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  22. 22.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  23. 23.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  24. 24.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.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 36 km upstream and come back?
  26. 26.A boat goes 54 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  27. 27.Two trains, 90 m and 390 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?
  28. 28.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  29. 29.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  31. 31.Two trains, 70 m and 200 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?
  32. 32.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  34. 34.A boat goes 72 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  35. 35.A boat goes 18 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  36. 36.A boat goes 60 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A boat goes at 14 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 66 km upstream and come back?
  38. 38.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.Two trains, 170 m and 215 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?

Answer key

  1. 90
  2. 22
  3. 72
  4. 23
  5. 32
  6. 21
  7. 22
  8. 11
  9. 30
  10. 11
  11. 23
  12. 16
  13. 165
  14. 21
  15. 15
  16. 3
  17. 42
  18. 150
  19. 22
  20. 36
  21. 20
  22. 360
  23. 17
  24. 7
  25. 40
  26. 3
  27. 12
  28. 16
  29. 27
  30. 30
  31. 6
  32. 10
  33. 750
  34. 1
  35. 1
  36. 13
  37. 14
  38. 24
  39. 23
  40. 11

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