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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 299 · 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 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  2. 2.A boat goes at 14 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  3. 3.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  4. 4.Two trains, 80 m and 190 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?
  5. 5.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 24 km upstream and come back?
  6. 6.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.Two trains, 110 m and 135 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?
  8. 8.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  9. 9.A boat goes 100 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.Two trains, 250 m and 170 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?
  11. 11.Two trains, 80 m and 220 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?
  12. 12.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  14. 14.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  15. 15.A boat goes at 14 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 66 km upstream and come back?
  16. 16.A boat goes 60 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  18. 18.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  20. 20.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 78 km upstream and come back?
  21. 21.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 34 km upstream and come back?
  22. 22.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  23. 23.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?
  24. 24.Two trains, 50 m and 445 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?
  25. 25.A boat goes 50 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes 30 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  28. 28.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  29. 29.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  32. 32.Two trains, 120 m and 90 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?
  33. 33.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  34. 34.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  36. 36.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 60 km upstream and come back?
  37. 37.Two trains, 170 m and 100 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?
  38. 38.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 29
  2. 14
  3. 300
  4. 9
  5. 7
  6. 20
  7. 7
  8. 13
  9. 15
  10. 12
  11. 12
  12. 20
  13. 24
  14. 240
  15. 14
  16. 19
  17. 17
  18. 6
  19. 180
  20. 32
  21. 36
  22. 17
  23. 48
  24. 11
  25. 7
  26. 9
  27. 4
  28. 25
  29. 10
  30. 13
  31. 28
  32. 7
  33. 80
  34. 12
  35. 31
  36. 21
  37. 9
  38. 16
  39. 22
  40. 12

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