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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 765 · 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, 200 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?
  2. 2.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?
  3. 3.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  4. 4.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 10 km upstream and come back?
  5. 5.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 88 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  7. 7.A boat goes 52 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  8. 8.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  9. 9.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  10. 10.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  11. 11.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  12. 12.Two trains, 140 m and 160 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?
  13. 13.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  14. 14.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  16. 16.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 56 km upstream and come back?
  17. 17.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  19. 19.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)?
  20. 20.Two trains, 140 m and 80 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?
  21. 21.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  22. 22.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  23. 23.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  24. 24.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.Two trains, 130 m and 120 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 train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  28. 28.A boat goes 28 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 91 km upstream and come back?
  31. 31.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  32. 32.A boat goes 42 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  34. 34.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes 60 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  36. 36.Two trains, 70 m and 290 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?
  37. 37.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes 85 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  39. 39.Two trains, 140 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?
  40. 40.A boat goes 75 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 11
  2. 17
  3. 480
  4. 6
  5. 15
  6. 2
  7. 5
  8. 180
  9. 125
  10. 16
  11. 600
  12. 10
  13. 170
  14. 20
  15. 34
  16. 21
  17. 6
  18. 28
  19. 8
  20. 11
  21. 17
  22. 17
  23. 325
  24. 10
  25. 26
  26. 10
  27. 28
  28. 1
  29. 25
  30. 98
  31. 23
  32. 19
  33. 43
  34. 17
  35. 5
  36. 12
  37. 9
  38. 2
  39. 10
  40. 2

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