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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 446 · 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 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  2. 2.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.Two trains, 70 m and 280 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?
  5. 5.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  6. 6.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  10. 10.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  11. 11.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  12. 12.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  15. 15.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  16. 16.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 108 km upstream and come back?
  17. 17.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes 66 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)?
  19. 19.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  20. 20.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.Two trains, 110 m and 275 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?
  22. 22.A boat goes 80 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.Two trains, 100 m and 250 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?
  26. 26.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  27. 27.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes 45 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  30. 30.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 45 km upstream and come back?
  31. 31.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  32. 32.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  33. 33.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  34. 34.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  36. 36.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.Two trains, 90 m and 190 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?
  38. 38.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.Two trains, 160 m and 50 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?
  40. 40.A boat goes 80 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 400
  2. 26
  3. 12
  4. 7
  5. 23
  6. 7
  7. 29
  8. 10
  9. 19
  10. 38
  11. 31
  12. 30
  13. 27
  14. 34
  15. 39
  16. 60
  17. 9
  18. 18
  19. 24
  20. 26
  21. 11
  22. 17
  23. 5
  24. 20
  25. 10
  26. 38
  27. 20
  28. 7
  29. 12
  30. 18
  31. 29
  32. 21
  33. 34
  34. 24
  35. 195
  36. 21
  37. 8
  38. 10
  39. 6
  40. 1

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