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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 947 · 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 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 8 km upstream and come back?
  2. 2.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 48 km upstream and come back?
  3. 3.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.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?
  5. 5.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  6. 6.A boat goes 70 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  7. 7.A boat goes 39 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.Two trains, 220 m and 55 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?
  9. 9.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  10. 10.Two trains, 200 m and 220 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?
  11. 11.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  12. 12.Two trains, 80 m and 220 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?
  13. 13.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  14. 14.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  16. 16.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.Two trains, 120 m and 375 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?
  18. 18.Two trains, 60 m and 255 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?
  19. 19.A boat goes 70 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  20. 20.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  22. 22.Two trains, 220 m and 220 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?
  23. 23.Two trains, 140 m and 260 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?
  24. 24.Two trains, 50 m and 195 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?
  25. 25.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  26. 26.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  28. 28.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  29. 29.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  30. 30.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  34. 34.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  36. 36.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  38. 38.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  39. 39.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  40. 40.A boat goes 44 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 5
  2. 30
  3. 13
  4. 17
  5. 11
  6. 5
  7. 8
  8. 11
  9. 270
  10. 12
  11. 27
  12. 12
  13. 120
  14. 8
  15. 34
  16. 16
  17. 11
  18. 7
  19. 4
  20. 5
  21. 475
  22. 11
  23. 10
  24. 7
  25. 17
  26. 6
  27. 210
  28. 25
  29. 80
  30. 5
  31. 28
  32. 19
  33. 380
  34. 9
  35. 300
  36. 24
  37. 11
  38. 23
  39. 19
  40. 3

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