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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 289 · 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 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  2. 2.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  3. 3.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 56 km upstream and come back?
  4. 4.A boat goes 64 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  5. 5.Two trains, 70 m and 140 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?
  6. 6.Two trains, 110 m and 290 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?
  7. 7.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.Two trains, 90 m and 180 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?
  9. 9.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  10. 10.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  11. 11.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.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 100 km upstream and come back?
  13. 13.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  14. 14.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 63 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 40 km upstream and come back?
  17. 17.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  18. 18.Two trains, 50 m and 160 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?
  19. 19.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  20. 20.A boat goes at 18 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 80 km upstream and come back?
  21. 21.A boat goes at 18 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 102 km upstream and come back?
  22. 22.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 90 km upstream and come back?
  24. 24.Two trains, 240 m and 260 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.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  26. 26.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  27. 27.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  28. 28.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  31. 31.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  32. 32.Two trains, 100 m and 80 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?
  33. 33.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  34. 34.Two trains, 100 m and 140 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?
  35. 35.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.Two trains, 120 m and 80 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?
  38. 38.A boat goes 60 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.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)?
  40. 40.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 150
  2. 34
  3. 32
  4. 2
  5. 7
  6. 8
  7. 27
  8. 9
  9. 200
  10. 24
  11. 11
  12. 35
  13. 34
  14. 15
  15. 16
  16. 9
  17. 38
  18. 6
  19. 450
  20. 9
  21. 54
  22. 25
  23. 36
  24. 10
  25. 240
  26. 27
  27. 31
  28. 12
  29. 22
  30. 70
  31. 650
  32. 9
  33. 28
  34. 8
  35. 18
  36. 18
  37. 10
  38. 1
  39. 17
  40. 29

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