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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 354 · 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 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  2. 2.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 21 km upstream and come back?
  4. 4.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  5. 5.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.Two trains, 50 m and 90 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.Two trains, 90 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?
  8. 8.A boat goes 95 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  9. 9.A boat goes 28 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  10. 10.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  11. 11.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  12. 12.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 12 km upstream and come back?
  14. 14.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  16. 16.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  17. 17.Two trains, 70 m and 130 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?
  18. 18.A boat goes at 11 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 48 km upstream and come back?
  19. 19.Two trains, 240 m and 80 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?
  20. 20.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  21. 21.Two trains, 90 m and 110 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?
  22. 22.A boat goes at 13 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 60 km upstream and come back?
  23. 23.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 30 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  26. 26.Two trains, 130 m and 120 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?
  27. 27.Two trains, 100 m and 320 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?
  28. 28.A boat goes 55 km downstream in 5 hours and 5 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  29. 29.A boat goes at 18 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 56 km upstream and come back?
  30. 30.A boat goes 48 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  31. 31.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  32. 32.A boat goes 120 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  33. 33.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  34. 34.A boat goes at 16 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 60 km upstream and come back?
  35. 35.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  38. 38.Two trains, 210 m and 120 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?
  39. 39.Two trains, 70 m and 130 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?
  40. 40.Two trains, 130 m and 115 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?

Answer key

  1. 41
  2. 24
  3. 10
  4. 290
  5. 6
  6. 4
  7. 7
  8. 1
  9. 1
  10. 20
  11. 315
  12. 28
  13. 5
  14. 19
  15. 19
  16. 13
  17. 10
  18. 11
  19. 8
  20. 30
  21. 5
  22. 13
  23. 14
  24. 11
  25. 170
  26. 10
  27. 12
  28. 5
  29. 9
  30. 5
  31. 16
  32. 4
  33. 36
  34. 8
  35. 30
  36. 27
  37. 16
  38. 11
  39. 8
  40. 7

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