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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 392 · 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 26 seconds. How long is the train (in metres)?
  2. 2.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  3. 3.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  4. 4.Two trains, 70 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?
  5. 5.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  6. 6.Two trains, 170 m and 55 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?
  7. 7.A boat goes at 13 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 96 km upstream and come back?
  8. 8.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.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 99 km upstream and come back?
  10. 10.A boat goes 51 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  11. 11.A boat goes 52 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  12. 12.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes 38 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)?
  14. 14.A boat goes 28 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.Two trains, 140 m and 220 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?
  16. 16.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 9 km upstream and come back?
  17. 17.A boat goes 48 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A boat goes 52 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  19. 19.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  20. 20.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  21. 21.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?
  22. 22.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  23. 23.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  24. 24.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  25. 25.A boat goes 95 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  26. 26.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  27. 27.Two trains, 210 m and 270 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?
  28. 28.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes 32 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)?
  30. 30.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  31. 31.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  32. 32.Two trains, 60 m and 180 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?
  33. 33.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  34. 34.Two trains, 70 m and 230 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  35. 35.Two trains, 190 m and 125 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?
  36. 36.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 120 km upstream and come back?
  37. 37.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  39. 39.A boat goes 65 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  40. 40.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?

Answer key

  1. 260
  2. 300
  3. 5
  4. 7
  5. 120
  6. 9
  7. 52
  8. 29
  9. 108
  10. 3
  11. 5
  12. 27
  13. 17
  14. 12
  15. 12
  16. 4
  17. 12
  18. 2
  19. 24
  20. 19
  21. 9
  22. 26
  23. 13
  24. 41
  25. 4
  26. 22
  27. 12
  28. 25
  29. 11
  30. 390
  31. 210
  32. 6
  33. 17
  34. 6
  35. 9
  36. 27
  37. 21
  38. 22
  39. 5
  40. 27

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