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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 270 · 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 270 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?
  2. 2.A boat goes 65 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  3. 3.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  4. 4.A boat goes 76 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  6. 6.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  7. 7.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  9. 9.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?
  10. 10.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  11. 11.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  12. 12.Two trains, 70 m and 245 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?
  13. 13.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  14. 14.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 90 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  16. 16.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  17. 17.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  19. 19.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  21. 21.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  22. 22.A boat goes 63 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)?
  23. 23.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 69 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  25. 25.Two trains, 120 m and 195 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?
  26. 26.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  27. 27.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?
  28. 28.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  29. 29.A boat goes 40 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  31. 31.A boat goes 48 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  33. 33.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  34. 34.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 30 km upstream and come back?
  35. 35.A boat goes 60 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  36. 36.A boat goes 80 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 80 km upstream and come back?
  38. 38.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?
  39. 39.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  40. 40.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?

Answer key

  1. 11
  2. 1
  3. 28
  4. 17
  5. 22
  6. 32
  7. 19
  8. 22
  9. 7
  10. 31
  11. 17
  12. 9
  13. 225
  14. 6
  15. 4
  16. 120
  17. 7
  18. 460
  19. 11
  20. 560
  21. 21
  22. 18
  23. 12
  24. 5
  25. 9
  26. 575
  27. 28
  28. 120
  29. 7
  30. 16
  31. 4
  32. 23
  33. 750
  34. 8
  35. 2
  36. 11
  37. 18
  38. 20
  39. 35
  40. 20

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