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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 185 · 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 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  3. 3.Two trains, 100 m and 60 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?
  4. 4.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  5. 5.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)?
  6. 6.A boat goes 60 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  7. 7.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  8. 8.A train 270 m long runs at 36 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 1 km/h. How many hours does the boat take to go 35 km upstream and come back?
  10. 10.Two trains, 110 m and 385 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?
  11. 11.A boat goes 85 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes at 17 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 84 km upstream and come back?
  14. 14.Two trains, 120 m and 55 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?
  15. 15.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  16. 16.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  17. 17.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  18. 18.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  19. 19.Two trains, 100 m and 60 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?
  20. 20.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  21. 21.Two trains, 90 m and 240 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?
  22. 22.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  23. 23.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  24. 24.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  25. 25.Two trains, 130 m and 275 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?
  26. 26.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  27. 27.A boat goes at 15 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 88 km upstream and come back?
  28. 28.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  30. 30.A boat goes at 12 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 95 km upstream and come back?
  31. 31.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  32. 32.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  33. 33.A boat goes 39 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  36. 36.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 110 km upstream and come back?
  37. 37.Two trains, 190 m and 50 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?
  38. 38.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  39. 39.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 27
  2. 300
  3. 4
  4. 22
  5. 2
  6. 4
  7. 135
  8. 27
  9. 12
  10. 11
  11. 14
  12. 25
  13. 17
  14. 7
  15. 140
  16. 38
  17. 13
  18. 34
  19. 8
  20. 575
  21. 11
  22. 130
  23. 170
  24. 120
  25. 9
  26. 75
  27. 15
  28. 15
  29. 60
  30. 24
  31. 525
  32. 24
  33. 8
  34. 12
  35. 20
  36. 60
  37. 8
  38. 27
  39. 30
  40. 27

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