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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 556 · 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, 50 m and 280 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?
  2. 2.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  3. 3.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  4. 4.A boat goes 70 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 55 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)?
  7. 7.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  8. 8.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  9. 9.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  10. 10.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  12. 12.A boat goes 50 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  13. 13.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  14. 14.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.Two trains, 80 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?
  16. 16.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  17. 17.Two trains, 150 m and 200 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?
  18. 18.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  19. 19.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  20. 20.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 72 km upstream and come back?
  21. 21.A boat goes 22 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  22. 22.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  23. 23.Two trains, 70 m and 245 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?
  24. 24.A boat goes 65 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  25. 25.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  26. 26.Two trains, 110 m and 190 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  27. 27.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  28. 28.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.Two trains, 210 m and 195 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?
  30. 30.A boat goes 44 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  31. 31.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)?
  32. 32.Two trains, 190 m and 260 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?
  33. 33.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes 24 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  36. 36.Two trains, 120 m and 100 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?
  37. 37.Two trains, 50 m and 110 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?
  38. 38.A boat goes 26 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  39. 39.Two trains, 90 m and 330 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?
  40. 40.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?

Answer key

  1. 11
  2. 22
  3. 45
  4. 13
  5. 16
  6. 8
  7. 16
  8. 275
  9. 28
  10. 9
  11. 380
  12. 3
  13. 400
  14. 11
  15. 5
  16. 21
  17. 10
  18. 270
  19. 33
  20. 22
  21. 1
  22. 29
  23. 7
  24. 5
  25. 175
  26. 12
  27. 26
  28. 6
  29. 9
  30. 4
  31. 15
  32. 10
  33. 9
  34. 28
  35. 1
  36. 11
  37. 4
  38. 1
  39. 12
  40. 19

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