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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 132 · 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 train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  2. 2.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  3. 3.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  4. 4.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  5. 5.A boat goes 40 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)?
  6. 6.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  7. 7.A boat goes at 10 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 90 km upstream and come back?
  8. 8.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  10. 10.Two trains, 110 m and 170 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?
  11. 11.A boat goes at 18 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 105 km upstream and come back?
  12. 12.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 42 km upstream and come back?
  13. 13.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  14. 14.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  16. 16.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 11 km upstream and come back?
  17. 17.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 72 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  20. 20.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  21. 21.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  22. 22.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  23. 23.Two trains, 70 m and 230 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?
  24. 24.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 120 km upstream and come back?
  25. 25.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  26. 26.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  27. 27.Two trains, 160 m and 170 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?
  28. 28.A boat goes 55 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.Two trains, 70 m and 350 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?
  31. 31.A boat goes 88 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.Two trains, 70 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?
  33. 33.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  34. 34.Two trains, 60 m and 240 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?
  35. 35.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?
  36. 36.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  38. 38.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.Two trains, 190 m and 50 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?
  40. 40.Two trains, 70 m and 335 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?

Answer key

  1. 285
  2. 240
  3. 37
  4. 42
  5. 6
  6. 33
  7. 24
  8. 19
  9. 42
  10. 8
  11. 12
  12. 10
  13. 180
  14. 29
  15. 33
  16. 12
  17. 14
  18. 11
  19. 4
  20. 30
  21. 135
  22. 60
  23. 12
  24. 50
  25. 33
  26. 625
  27. 11
  28. 9
  29. 10
  30. 12
  31. 20
  32. 6
  33. 35
  34. 12
  35. 12
  36. 14
  37. 300
  38. 15
  39. 12
  40. 9

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