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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 168 · 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 90 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  3. 3.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  4. 4.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  5. 5.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  7. 7.Two trains, 90 m and 135 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?
  8. 8.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes 36 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A train 120 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 29 seconds. How long is the train (in metres)?
  12. 12.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  13. 13.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  14. 14.A boat goes 60 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  15. 15.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 54 km upstream and come back?
  17. 17.A boat goes 51 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  19. 19.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  20. 20.A boat goes 34 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 63 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  22. 22.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  23. 23.Two trains, 60 m and 165 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?
  24. 24.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes 46 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  26. 26.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  27. 27.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  28. 28.Two trains, 60 m and 165 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?
  29. 29.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  30. 30.A boat goes 27 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  31. 31.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  32. 32.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 56 km upstream and come back?
  33. 33.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?
  34. 34.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes at 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 20 km upstream and come back?
  36. 36.A boat goes 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  38. 38.Two trains, 60 m and 215 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?
  39. 39.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes 72 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 3
  2. 21
  3. 700
  4. 16
  5. 9
  6. 240
  7. 9
  8. 8
  9. 7
  10. 12
  11. 580
  12. 480
  13. 500
  14. 2
  15. 13
  16. 30
  17. 15
  18. 35
  19. 22
  20. 2
  21. 5
  22. 70
  23. 5
  24. 6
  25. 5
  26. 400
  27. 525
  28. 9
  29. 28
  30. 2
  31. 22
  32. 32
  33. 11
  34. 16
  35. 6
  36. 7
  37. 28
  38. 11
  39. 16
  40. 2

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