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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 51 · 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, 190 m and 110 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 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  3. 3.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  4. 4.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  5. 5.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  7. 7.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  8. 8.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  9. 9.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  10. 10.Two trains, 110 m and 65 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?
  11. 11.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  12. 12.Two trains, 140 m and 260 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?
  13. 13.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  14. 14.A boat goes 60 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  16. 16.Two trains, 80 m and 400 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?
  17. 17.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 108 km upstream and come back?
  18. 18.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 80 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  20. 20.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  21. 21.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?
  22. 22.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  23. 23.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  24. 24.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.Two trains, 190 m and 80 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?
  26. 26.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  27. 27.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes 28 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)?
  29. 29.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  30. 30.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  31. 31.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  33. 33.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  34. 34.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 32 km upstream and come back?
  35. 35.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  37. 37.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  38. 38.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 120 km upstream and come back?
  40. 40.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?

Answer key

  1. 12
  2. 50
  3. 60
  4. 550
  5. 16
  6. 22
  7. 240
  8. 420
  9. 280
  10. 5
  11. 24
  12. 10
  13. 22
  14. 8
  15. 165
  16. 12
  17. 63
  18. 18
  19. 4
  20. 525
  21. 10
  22. 600
  23. 27
  24. 7
  25. 6
  26. 435
  27. 5
  28. 6
  29. 13
  30. 23
  31. 24
  32. 31
  33. 14
  34. 20
  35. 22
  36. 400
  37. 29
  38. 13
  39. 42
  40. 12

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