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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 789 · 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 at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 40 km upstream and come back?
  2. 2.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes 48 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  4. 4.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  5. 5.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  6. 6.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  7. 7.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  8. 8.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.Two trains, 170 m and 180 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?
  10. 10.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  12. 12.Two trains, 220 m and 110 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?
  13. 13.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  18. 18.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 33 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.Two trains, 100 m and 140 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?
  21. 21.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  22. 22.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.Two trains, 140 m and 280 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?
  24. 24.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  25. 25.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  26. 26.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  27. 27.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  28. 28.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  29. 29.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  30. 30.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  31. 31.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  32. 32.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 56 km upstream and come back?
  33. 33.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes 44 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.Two trains, 90 m and 120 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  36. 36.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  37. 37.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  39. 39.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.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?

Answer key

  1. 9
  2. 23
  3. 5
  4. 31
  5. 18
  6. 560
  7. 26
  8. 7
  9. 10
  10. 27
  11. 125
  12. 11
  13. 10
  14. 16
  15. 30
  16. 30
  17. 27
  18. 26
  19. 8
  20. 6
  21. 100
  22. 16
  23. 12
  24. 28
  25. 28
  26. 750
  27. 220
  28. 250
  29. 200
  30. 140
  31. 275
  32. 18
  33. 15
  34. 2
  35. 6
  36. 300
  37. 18
  38. 11
  39. 9
  40. 12

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