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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 897 · 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 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  2. 2.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  3. 3.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  4. 4.A boat goes 26 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  5. 5.Two trains, 240 m and 60 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?
  6. 6.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  7. 7.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  8. 8.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  9. 9.A boat goes 40 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  11. 11.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  12. 12.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  14. 14.Two trains, 100 m and 140 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?
  15. 15.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  16. 16.A boat goes 48 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  18. 18.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 108 km upstream and come back?
  20. 20.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  21. 21.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  22. 22.A boat goes 24 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  23. 23.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  25. 25.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 45 km upstream and come back?
  26. 26.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  27. 27.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes 52 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  29. 29.Two trains, 170 m and 150 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?
  30. 30.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  31. 31.Two trains, 80 m and 130 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  32. 32.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 110 km upstream and come back?
  33. 33.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  34. 34.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  35. 35.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  36. 36.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  37. 37.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  38. 38.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  39. 39.Two trains, 100 m and 140 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?
  40. 40.A boat goes 60 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 220
  2. 345
  3. 20
  4. 4
  5. 12
  6. 36
  7. 29
  8. 180
  9. 8
  10. 70
  11. 15
  12. 6
  13. 22
  14. 6
  15. 260
  16. 20
  17. 270
  18. 8
  19. 63
  20. 22
  21. 280
  22. 2
  23. 29
  24. 36
  25. 48
  26. 24
  27. 9
  28. 4
  29. 8
  30. 30
  31. 7
  32. 66
  33. 120
  34. 13
  35. 135
  36. 425
  37. 420
  38. 37
  39. 12
  40. 1

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