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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 202 · 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 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  4. 4.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  5. 5.Two trains, 50 m and 50 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?
  6. 6.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  7. 7.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 117 km upstream and come back?
  8. 8.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.Two trains, 160 m and 155 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?
  10. 10.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  12. 12.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  13. 13.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  14. 14.Two trains, 230 m and 130 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?
  15. 15.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 12 km upstream and come back?
  16. 16.A boat goes 36 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  17. 17.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  18. 18.A boat goes 34 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.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 70 km upstream and come back?
  21. 21.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  22. 22.Two trains, 70 m and 530 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?
  23. 23.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.Two trains, 60 m and 120 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?
  25. 25.A boat goes 96 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  26. 26.A boat goes 105 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  28. 28.A boat goes 18 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.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 72 km upstream and come back?
  30. 30.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  31. 31.Two trains, 140 m and 100 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?
  32. 32.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 75 km upstream and come back?
  33. 33.A boat goes 64 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  35. 35.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 84 km upstream and come back?
  36. 36.A boat goes at 18 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 64 km upstream and come back?
  37. 37.A boat goes 42 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  38. 38.A boat goes at 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 96 km upstream and come back?
  39. 39.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 66 km upstream and come back?
  40. 40.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?

Answer key

  1. 6
  2. 28
  3. 500
  4. 39
  5. 5
  6. 420
  7. 130
  8. 5
  9. 7
  10. 18
  11. 250
  12. 625
  13. 500
  14. 12
  15. 7
  16. 4
  17. 150
  18. 13
  19. 28
  20. 24
  21. 41
  22. 12
  23. 14
  24. 9
  25. 5
  26. 19
  27. 140
  28. 6
  29. 42
  30. 24
  31. 12
  32. 30
  33. 11
  34. 18
  35. 20
  36. 18
  37. 5
  38. 14
  39. 28
  40. 21

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