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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 341 · 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 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  3. 3.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  4. 4.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  6. 6.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  7. 7.A boat goes 75 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.Two trains, 50 m and 175 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?
  10. 10.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 100 km upstream and come back?
  11. 11.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  12. 12.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  13. 13.Two trains, 100 m and 230 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?
  14. 14.A boat goes 90 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  15. 15.Two trains, 50 m and 170 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?
  16. 16.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  17. 17.A boat goes 24 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  18. 18.Two trains, 130 m and 70 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?
  19. 19.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  20. 20.A boat goes 30 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  21. 21.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 39 km upstream and come back?
  22. 22.Two trains, 70 m and 330 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?
  23. 23.A boat goes 48 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  26. 26.A boat goes 50 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A boat goes 88 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  28. 28.Two trains, 230 m and 85 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?
  29. 29.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  30. 30.A boat goes 28 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  32. 32.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  34. 34.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 19 km upstream and come back?
  35. 35.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  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 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?

Answer key

  1. 22
  2. 280
  3. 500
  4. 11
  5. 33
  6. 28
  7. 13
  8. 6
  9. 5
  10. 60
  11. 240
  12. 27
  13. 11
  14. 5
  15. 11
  16. 190
  17. 4
  18. 10
  19. 28
  20. 2
  21. 16
  22. 10
  23. 5
  24. 23
  25. 150
  26. 6
  27. 2
  28. 9
  29. 21
  30. 11
  31. 600
  32. 13
  33. 27
  34. 20
  35. 16
  36. 12
  37. 38
  38. 525
  39. 20
  40. 27

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