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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 775 · 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 210 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?
  2. 2.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  3. 3.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  4. 4.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  5. 5.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.Two trains, 220 m and 165 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?
  7. 7.Two trains, 90 m and 150 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?
  8. 8.A boat goes 34 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  9. 9.Two trains, 190 m and 80 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?
  10. 10.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  11. 11.A boat goes 54 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  12. 12.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  13. 13.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  14. 14.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 90 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  16. 16.A boat goes 75 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  17. 17.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 100 km upstream and come back?
  18. 18.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 64 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes at 18 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 60 km upstream and come back?
  24. 24.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 44 km upstream and come back?
  25. 25.Two trains, 50 m and 200 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?
  26. 26.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  27. 27.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  28. 28.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  30. 30.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 57 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A boat goes at 17 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 32 km upstream and come back?
  33. 33.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  34. 34.Two trains, 80 m and 130 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?
  35. 35.Two trains, 110 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?
  36. 36.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  37. 37.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  39. 39.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.Two trains, 70 m and 230 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?

Answer key

  1. 12
  2. 105
  3. 420
  4. 135
  5. 16
  6. 11
  7. 12
  8. 1
  9. 9
  10. 200
  11. 2
  12. 28
  13. 25
  14. 19
  15. 1
  16. 5
  17. 55
  18. 11
  19. 14
  20. 15
  21. 20
  22. 30
  23. 12
  24. 48
  25. 10
  26. 34
  27. 100
  28. 11
  29. 26
  30. 5
  31. 18
  32. 17
  33. 13
  34. 6
  35. 10
  36. 24
  37. 11
  38. 125
  39. 22
  40. 12

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