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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 203 · 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 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  4. 4.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  5. 5.A boat goes 110 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes 75 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A boat goes 51 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  9. 9.Two trains, 130 m and 470 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?
  10. 10.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  12. 12.Two trains, 80 m and 220 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?
  13. 13.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes 45 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)?
  15. 15.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)?
  16. 16.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  18. 18.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  19. 19.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  21. 21.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  22. 22.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  23. 23.A boat goes 40 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  24. 24.A boat goes 26 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  25. 25.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  26. 26.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  27. 27.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  28. 28.A boat goes 63 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A boat goes 34 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  31. 31.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  32. 32.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  35. 35.A boat goes 20 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)?
  36. 36.A boat goes at 17 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  37. 37.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 105 km upstream and come back?
  39. 39.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.Two trains, 100 m and 140 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?

Answer key

  1. 14
  2. 30
  3. 725
  4. 22
  5. 19
  6. 30
  7. 13
  8. 5
  9. 12
  10. 27
  11. 23
  12. 12
  13. 11
  14. 13
  15. 1
  16. 5
  17. 27
  18. 160
  19. 30
  20. 32
  21. 30
  22. 29
  23. 4
  24. 4
  25. 15
  26. 70
  27. 220
  28. 18
  29. 14
  30. 26
  31. 200
  32. 27
  33. 15
  34. 125
  35. 8
  36. 17
  37. 7
  38. 50
  39. 6
  40. 8

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