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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 178 · 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 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.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?
  3. 3.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)?
  4. 4.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.Two trains, 180 m and 100 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?
  6. 6.A boat goes 57 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  8. 8.Two trains, 250 m and 200 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?
  9. 9.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  10. 10.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  11. 11.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.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 60 km upstream and come back?
  13. 13.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 102 km upstream and come back?
  14. 14.Two trains, 90 m and 110 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?
  15. 15.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  17. 17.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?
  18. 18.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  19. 19.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  20. 20.Two trains, 180 m and 140 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?
  21. 21.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  22. 22.Two trains, 70 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?
  23. 23.A boat goes 64 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 675 m long runs at 90 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 11 seconds. How long is the train (in metres)?
  26. 26.Two trains, 120 m and 160 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?
  27. 27.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  29. 29.A boat goes 85 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  30. 30.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  31. 31.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  33. 33.A boat goes 57 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.Two trains, 140 m and 60 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?
  35. 35.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  36. 36.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  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 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  39. 39.A boat goes 90 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A boat goes 60 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 17
  2. 11
  3. 7
  4. 25
  5. 8
  6. 18
  7. 23
  8. 10
  9. 27
  10. 14
  11. 30
  12. 24
  13. 40
  14. 5
  15. 19
  16. 280
  17. 16
  18. 140
  19. 28
  20. 8
  21. 28
  22. 12
  23. 3
  24. 27
  25. 165
  26. 8
  27. 30
  28. 625
  29. 1
  30. 90
  31. 9
  32. 440
  33. 14
  34. 10
  35. 14
  36. 400
  37. 80
  38. 33
  39. 16
  40. 19

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