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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 756 · 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 running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  2. 2.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  3. 3.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  4. 4.A boat goes 66 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  6. 6.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 46 km upstream and come back?
  7. 7.Two trains, 200 m and 160 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  8. 8.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  9. 9.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 112 km upstream and come back?
  10. 10.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 60 km upstream and come back?
  11. 11.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.Two trains, 50 m and 220 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  13. 13.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  14. 14.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.Two trains, 120 m and 80 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?
  16. 16.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  18. 18.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  20. 20.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  22. 22.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  23. 23.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  24. 24.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  25. 25.A boat goes at 16 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 60 km upstream and come back?
  26. 26.A boat goes at 16 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 28 km upstream and come back?
  27. 27.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  28. 28.Two trains, 70 m and 210 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?
  29. 29.A boat goes 28 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  30. 30.Two trains, 70 m and 245 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?
  31. 31.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  32. 32.Two trains, 100 m and 75 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?
  33. 33.Two trains, 50 m and 125 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?
  34. 34.Two trains, 140 m and 70 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  35. 35.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  36. 36.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  37. 37.Two trains, 190 m and 125 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?
  38. 38.Two trains, 200 m and 200 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?
  39. 39.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  40. 40.A boat goes 40 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 625
  2. 300
  3. 25
  4. 19
  5. 270
  6. 48
  7. 9
  8. 22
  9. 22
  10. 21
  11. 6
  12. 9
  13. 25
  14. 14
  15. 5
  16. 24
  17. 31
  18. 15
  19. 19
  20. 17
  21. 180
  22. 36
  23. 22
  24. 100
  25. 8
  26. 8
  27. 24
  28. 8
  29. 3
  30. 7
  31. 29
  32. 7
  33. 5
  34. 7
  35. 100
  36. 60
  37. 9
  38. 10
  39. 31
  40. 5

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