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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 560 · 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.Two trains, 170 m and 80 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?
  2. 2.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 110 km upstream and come back?
  3. 3.Two trains, 60 m and 300 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 running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  5. 5.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  6. 6.A boat goes at 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 100 km upstream and come back?
  7. 7.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  8. 8.Two trains, 130 m and 185 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  9. 9.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 92 km upstream and come back?
  10. 10.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  11. 11.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  12. 12.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 135 m long runs at 54 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 6 seconds. How long is the train (in metres)?
  15. 15.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  16. 16.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  17. 17.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  18. 18.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  19. 19.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 81 km upstream and come back?
  20. 20.A boat goes 32 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  24. 24.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  25. 25.Two trains, 70 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?
  26. 26.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 140 m and 70 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  28. 28.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)?
  29. 29.A boat goes 48 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  30. 30.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 120 km upstream and come back?
  31. 31.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  32. 32.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.Two trains, 50 m and 125 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  34. 34.Two trains, 120 m and 280 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?
  35. 35.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  36. 36.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  37. 37.A boat goes 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.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 36 km upstream and come back?
  39. 39.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 55 km upstream and come back?
  40. 40.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 10
  2. 32
  3. 9
  4. 340
  5. 700
  6. 104
  7. 21
  8. 9
  9. 96
  10. 20
  11. 90
  12. 16
  13. 9
  14. 60
  15. 30
  16. 41
  17. 24
  18. 38
  19. 90
  20. 15
  21. 10
  22. 20
  23. 33
  24. 210
  25. 5
  26. 12
  27. 6
  28. 1
  29. 3
  30. 45
  31. 31
  32. 8
  33. 5
  34. 8
  35. 5
  36. 110
  37. 9
  38. 21
  39. 60
  40. 6

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