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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 883 · 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, 160 m and 290 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?
  2. 2.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  3. 3.A boat goes 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  4. 4.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  5. 5.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  6. 6.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.Two trains, 200 m and 115 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?
  8. 8.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  9. 9.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.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 72 km upstream and come back?
  11. 11.A boat goes 24 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.Two trains, 210 m and 60 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  13. 13.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.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)?
  16. 16.A boat goes 36 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  18. 18.Two trains, 140 m and 70 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?
  19. 19.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  20. 20.A boat goes 84 km downstream in 4 hours and 76 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  21. 21.A boat goes 80 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  22. 22.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  23. 23.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  26. 26.A boat goes 60 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  28. 28.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  29. 29.Two trains, 70 m and 410 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  30. 30.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?
  31. 31.A boat goes 96 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  32. 32.Two trains, 70 m and 200 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?
  33. 33.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  34. 34.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes at 12 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 119 km upstream and come back?
  36. 36.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes at 20 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 96 km upstream and come back?
  38. 38.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  39. 39.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.Two trains, 120 m and 90 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?

Answer key

  1. 10
  2. 175
  3. 2
  4. 30
  5. 22
  6. 17
  7. 9
  8. 440
  9. 27
  10. 21
  11. 10
  12. 6
  13. 17
  14. 23
  15. 3
  16. 16
  17. 29
  18. 7
  19. 240
  20. 1
  21. 2
  22. 17
  23. 27
  24. 7
  25. 16
  26. 9
  27. 19
  28. 26
  29. 12
  30. 28
  31. 5
  32. 9
  33. 165
  34. 6
  35. 24
  36. 29
  37. 10
  38. 260
  39. 8
  40. 7

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