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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 835 · 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 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes at 11 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 105 km upstream and come back?
  3. 3.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 120 km upstream and come back?
  4. 4.Two trains, 120 m and 360 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  5. 5.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  7. 7.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 108 km upstream and come back?
  8. 8.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  9. 9.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  10. 10.A boat goes 40 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  11. 11.Two trains, 180 m and 240 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?
  12. 12.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  13. 13.A boat goes at 19 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 108 km upstream and come back?
  14. 14.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  15. 15.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes 80 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes at 15 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 88 km upstream and come back?
  21. 21.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes 32 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  25. 25.Two trains, 130 m and 290 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?
  26. 26.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  28. 28.A boat goes 105 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 81 km upstream and come back?
  31. 31.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  32. 32.A boat goes 90 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 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  34. 34.A boat goes 75 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)?
  35. 35.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  36. 36.A boat goes at 17 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 104 km upstream and come back?
  37. 37.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.Two trains, 130 m and 320 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?
  39. 39.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.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?

Answer key

  1. 17
  2. 22
  3. 21
  4. 12
  5. 6
  6. 32
  7. 48
  8. 29
  9. 340
  10. 2
  11. 12
  12. 30
  13. 57
  14. 14
  15. 30
  16. 8
  17. 13
  18. 16
  19. 22
  20. 15
  21. 7
  22. 28
  23. 1
  24. 27
  25. 12
  26. 16
  27. 525
  28. 18
  29. 27
  30. 36
  31. 38
  32. 1
  33. 21
  34. 20
  35. 350
  36. 17
  37. 10
  38. 10
  39. 6
  40. 30

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