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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 780 · 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.Two trains, 120 m and 230 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?
  2. 2.Two trains, 110 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?
  3. 3.Two trains, 80 m and 415 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?
  4. 4.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  6. 6.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes 96 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  9. 9.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 102 km upstream and come back?
  10. 10.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  11. 11.Two trains, 80 m and 235 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  12. 12.Two trains, 50 m and 310 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?
  13. 13.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  14. 14.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  16. 16.A boat goes at 13 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 120 km upstream and come back?
  17. 17.A boat goes 27 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  18. 18.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  19. 19.A boat goes 44 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A boat goes 30 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  21. 21.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 36 km upstream and come back?
  22. 22.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 70 km upstream and come back?
  23. 23.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.Two trains, 80 m and 70 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?
  25. 25.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  26. 26.A boat goes 42 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.Two trains, 90 m and 90 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?
  28. 28.A boat goes 22 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  29. 29.Two trains, 60 m and 90 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?
  30. 30.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  31. 31.A boat goes at 14 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 66 km upstream and come back?
  32. 32.Two trains, 50 m and 90 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?
  33. 33.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.Two trains, 160 m and 140 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?
  35. 35.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  36. 36.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.Two trains, 60 m and 165 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?
  38. 38.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 40 km upstream and come back?
  39. 39.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  40. 40.Two trains, 50 m and 335 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?

Answer key

  1. 10
  2. 9
  3. 11
  4. 17
  5. 440
  6. 16
  7. 12
  8. 5
  9. 108
  10. 240
  11. 9
  12. 8
  13. 22
  14. 9
  15. 36
  16. 65
  17. 1
  18. 180
  19. 19
  20. 1
  21. 21
  22. 24
  23. 6
  24. 5
  25. 26
  26. 12
  27. 6
  28. 2
  29. 5
  30. 345
  31. 14
  32. 4
  33. 30
  34. 12
  35. 170
  36. 8
  37. 5
  38. 22
  39. 27
  40. 11

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