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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 179 · 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 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.Two trains, 80 m and 280 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?
  3. 3.Two trains, 50 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?
  4. 4.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 42 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  6. 6.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  7. 7.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  8. 8.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  9. 9.A boat goes 68 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)?
  10. 10.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  11. 11.A boat goes 115 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  12. 12.A boat goes at 20 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 70 km upstream and come back?
  13. 13.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  14. 14.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 36 km upstream and come back?
  15. 15.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  16. 16.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  17. 17.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  18. 18.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  20. 20.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes 84 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  24. 24.Two trains, 160 m and 190 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?
  25. 25.Two trains, 70 m and 180 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?
  26. 26.Two trains, 180 m and 180 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?
  27. 27.A boat goes 66 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 22 km upstream and come back?
  29. 29.A boat goes 60 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  30. 30.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  32. 32.A boat goes at 15 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 104 km upstream and come back?
  33. 33.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 90 m and 150 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?
  36. 36.A boat goes 21 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.Two trains, 150 m and 300 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?
  38. 38.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  40. 40.A boat goes 60 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 22
  2. 12
  3. 11
  4. 24
  5. 5
  6. 520
  7. 280
  8. 26
  9. 14
  10. 26
  11. 3
  12. 16
  13. 60
  14. 20
  15. 75
  16. 24
  17. 41
  18. 5
  19. 36
  20. 6
  21. 17
  22. 22
  23. 21
  24. 7
  25. 10
  26. 12
  27. 18
  28. 12
  29. 3
  30. 8
  31. 230
  32. 30
  33. 14
  34. 24
  35. 8
  36. 6
  37. 9
  38. 7
  39. 23
  40. 1

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