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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 677 · 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 boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 16 km upstream and come back?
  2. 2.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.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?
  4. 4.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 60 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  7. 7.Two trains, 240 m and 255 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?
  8. 8.A boat goes 57 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.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 11 km upstream and come back?
  10. 10.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  11. 11.A boat goes 24 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  12. 12.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  13. 13.A boat goes 24 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  14. 14.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  15. 15.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  16. 16.Two trains, 90 m and 155 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?
  17. 17.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 48 km upstream and come back?
  18. 18.A boat goes 64 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  20. 20.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 51 km upstream and come back?
  21. 21.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  23. 23.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  24. 24.A boat goes 95 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)?
  25. 25.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  26. 26.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  27. 27.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  28. 28.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  30. 30.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 36 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  32. 32.Two trains, 100 m and 60 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?
  33. 33.A boat goes 16 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  34. 34.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  35. 35.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  36. 36.A boat goes at 14 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 80 km upstream and come back?
  37. 37.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  38. 38.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  39. 39.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 5
  2. 10
  3. 5
  4. 9
  5. 7
  6. 26
  7. 11
  8. 17
  9. 12
  10. 35
  11. 1
  12. 20
  13. 1
  14. 600
  15. 125
  16. 7
  17. 14
  18. 13
  19. 35
  20. 54
  21. 7
  22. 30
  23. 750
  24. 18
  25. 105
  26. 16
  27. 150
  28. 11
  29. 22
  30. 26
  31. 3
  32. 4
  33. 2
  34. 700
  35. 180
  36. 14
  37. 120
  38. 35
  39. 20
  40. 19

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