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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 366 · 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 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  2. 2.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  3. 3.Two trains, 140 m and 100 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 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  5. 5.Two trains, 90 m and 260 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  6. 6.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  7. 7.A boat goes 54 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.Two trains, 130 m and 170 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?
  9. 9.A boat goes 36 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 72 km upstream and come back?
  11. 11.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  12. 12.Two trains, 200 m and 350 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  13. 13.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  14. 14.A boat goes 42 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  15. 15.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  16. 16.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  17. 17.A boat goes 110 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  18. 18.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  19. 19.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  20. 20.Two trains, 80 m and 370 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  21. 21.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  22. 22.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?
  23. 23.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  25. 25.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  26. 26.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes 46 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  28. 28.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  29. 29.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  30. 30.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  31. 31.Two trains, 190 m and 130 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?
  32. 32.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 28 km upstream and come back?
  34. 34.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 150 m and 90 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?
  36. 36.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.Two trains, 160 m and 260 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.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  39. 39.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  40. 40.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?

Answer key

  1. 32
  2. 180
  3. 12
  4. 22
  5. 7
  6. 625
  7. 16
  8. 10
  9. 8
  10. 30
  11. 290
  12. 11
  13. 28
  14. 4
  15. 350
  16. 600
  17. 4
  18. 50
  19. 27
  20. 9
  21. 37
  22. 5
  23. 20
  24. 105
  25. 400
  26. 27
  27. 5
  28. 39
  29. 195
  30. 33
  31. 8
  32. 12
  33. 16
  34. 17
  35. 12
  36. 14
  37. 12
  38. 525
  39. 32
  40. 13

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