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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 951 · 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 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes 55 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  5. 5.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  6. 6.Two trains, 80 m and 95 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  7. 7.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes 90 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  9. 9.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  10. 10.Two trains, 220 m and 260 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?
  11. 11.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  12. 12.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  13. 13.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  14. 14.A boat goes 56 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  15. 15.Two trains, 130 m and 150 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?
  16. 16.A boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 64 km upstream and come back?
  17. 17.A boat goes 20 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)?
  18. 18.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  19. 19.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 18 km upstream and come back?
  20. 20.Two trains, 120 m and 180 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?
  21. 21.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)?
  22. 22.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  24. 24.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  25. 25.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  26. 26.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  27. 27.A boat goes 100 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  29. 29.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  31. 31.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  32. 32.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  35. 35.A boat goes at 18 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 99 km upstream and come back?
  36. 36.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  37. 37.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  38. 38.A boat goes 26 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)?
  39. 39.A boat goes at 20 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 76 km upstream and come back?
  40. 40.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?

Answer key

  1. 10
  2. 26
  3. 10
  4. 38
  5. 240
  6. 5
  7. 29
  8. 3
  9. 36
  10. 12
  11. 60
  12. 42
  13. 125
  14. 5
  15. 8
  16. 20
  17. 8
  18. 150
  19. 8
  20. 6
  21. 7
  22. 9
  23. 28
  24. 325
  25. 260
  26. 21
  27. 20
  28. 240
  29. 23
  30. 26
  31. 28
  32. 7
  33. 9
  34. 300
  35. 36
  36. 375
  37. 210
  38. 9
  39. 40
  40. 21

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