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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 811 · 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 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  3. 3.A boat goes 55 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  4. 4.Two trains, 70 m and 280 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?
  5. 5.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  7. 7.Two trains, 160 m and 120 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?
  8. 8.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  9. 9.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 80 km upstream and come back?
  10. 10.A boat goes 66 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  11. 11.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  12. 12.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  13. 13.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  14. 14.Two trains, 90 m and 155 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?
  15. 15.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  16. 16.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes 57 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.Two trains, 150 m and 75 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  22. 22.Two trains, 110 m and 190 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  23. 23.A boat goes 26 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  24. 24.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  25. 25.A boat goes 36 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  26. 26.A boat goes 45 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  27. 27.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  28. 28.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  29. 29.A boat goes 35 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)?
  30. 30.A boat goes at 18 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 33 km upstream and come back?
  31. 31.Two trains, 130 m and 70 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  32. 32.Two trains, 110 m and 160 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  33. 33.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  34. 34.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  35. 35.Two trains, 60 m and 185 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?
  36. 36.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 90 km upstream and come back?
  37. 37.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  38. 38.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  39. 39.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  40. 40.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?

Answer key

  1. 30
  2. 35
  3. 3
  4. 10
  5. 9
  6. 26
  7. 7
  8. 140
  9. 18
  10. 5
  11. 100
  12. 22
  13. 41
  14. 7
  15. 90
  16. 30
  17. 22
  18. 15
  19. 14
  20. 18
  21. 5
  22. 10
  23. 2
  24. 22
  25. 5
  26. 2
  27. 13
  28. 200
  29. 6
  30. 12
  31. 8
  32. 6
  33. 220
  34. 26
  35. 7
  36. 36
  37. 80
  38. 100
  39. 175
  40. 300

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