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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 576 · 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, 90 m and 270 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?
  2. 2.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)?
  3. 3.Two trains, 80 m and 145 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?
  4. 4.Two trains, 130 m and 255 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  5. 5.A boat goes 80 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  6. 6.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  7. 7.A boat goes 20 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  8. 8.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  9. 9.Two trains, 170 m and 100 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?
  10. 10.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  11. 11.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  12. 12.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 18 km upstream and come back?
  13. 13.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  15. 15.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  16. 16.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  17. 17.A boat goes at 18 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 32 km upstream and come back?
  18. 18.A boat goes 51 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.Two trains, 180 m and 120 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  20. 20.Two trains, 130 m and 95 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?
  21. 21.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes 95 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  23. 23.A boat goes at 14 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  24. 24.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  25. 25.A boat goes 28 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  26. 26.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 36 km upstream and come back?
  27. 27.Two trains, 160 m and 60 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?
  28. 28.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  29. 29.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes 110 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  31. 31.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  32. 32.Two trains, 70 m and 90 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?
  33. 33.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  34. 34.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  35. 35.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  37. 37.Two trains, 60 m and 300 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 36 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.A boat goes 26 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A boat goes 66 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 9
  2. 5
  3. 9
  4. 11
  5. 5
  6. 240
  7. 4
  8. 440
  9. 9
  10. 290
  11. 300
  12. 10
  13. 25
  14. 700
  15. 60
  16. 165
  17. 9
  18. 12
  19. 10
  20. 5
  21. 23
  22. 5
  23. 14
  24. 270
  25. 1
  26. 15
  27. 11
  28. 33
  29. 18
  30. 4
  31. 525
  32. 8
  33. 195
  34. 25
  35. 8
  36. 18
  37. 9
  38. 2
  39. 10
  40. 3

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