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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 108 · 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 boat goes at 19 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 37 km upstream and come back?
  2. 2.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  3. 3.A boat goes 42 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  4. 4.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)?
  5. 5.A boat goes 36 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  6. 6.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.Two trains, 190 m and 210 m long, run towards each other on side-by-side tracks at 90 km/h and 54 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 12 seconds. How long is the train (in metres)?
  9. 9.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  10. 10.A boat goes 32 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  11. 11.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  12. 12.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes 44 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  16. 16.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  18. 18.Two trains, 110 m and 130 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?
  19. 19.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  20. 20.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  21. 21.A boat goes 42 km downstream in 2 hours and 38 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  22. 22.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  23. 23.A boat goes 38 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)?
  24. 24.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.Two trains, 80 m and 270 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?
  26. 26.Two trains, 50 m and 350 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?
  27. 27.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  29. 29.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  30. 30.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  31. 31.Two trains, 70 m and 130 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?
  32. 32.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  33. 33.A boat goes 44 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  34. 34.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  35. 35.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  36. 36.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  37. 37.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  38. 38.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  39. 39.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?
  40. 40.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?

Answer key

  1. 38
  2. 300
  3. 1
  4. 19
  5. 5
  6. 8
  7. 10
  8. 120
  9. 650
  10. 1
  11. 90
  12. 6
  13. 17
  14. 15
  15. 16
  16. 17
  17. 30
  18. 8
  19. 500
  20. 26
  21. 1
  22. 400
  23. 15
  24. 9
  25. 10
  26. 10
  27. 11
  28. 165
  29. 29
  30. 19
  31. 5
  32. 700
  33. 4
  34. 250
  35. 19
  36. 27
  37. 150
  38. 33
  39. 24
  40. 405

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