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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 479 · 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 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  2. 2.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  3. 3.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)?
  4. 4.Two trains, 100 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?
  5. 5.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  7. 7.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  8. 8.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 60 km upstream and come back?
  9. 9.Two trains, 130 m and 170 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?
  10. 10.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  11. 11.A boat goes 22 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  12. 12.A boat goes 85 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  13. 13.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  14. 14.Two trains, 110 m and 275 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?
  15. 15.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  17. 17.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?
  18. 18.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  19. 19.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  21. 21.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  22. 22.Two trains, 110 m and 65 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?
  23. 23.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  24. 24.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  25. 25.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  27. 27.A boat goes at 17 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  28. 28.Two trains, 180 m and 180 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?
  29. 29.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  30. 30.Two trains, 190 m and 195 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.Two trains, 50 m and 100 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?
  32. 32.A boat goes at 16 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 62 km upstream and come back?
  33. 33.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes at 20 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 96 km upstream and come back?
  36. 36.Two trains, 70 m and 105 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?
  37. 37.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  38. 38.A boat goes 40 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  40. 40.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?

Answer key

  1. 21
  2. 120
  3. 4
  4. 8
  5. 28
  6. 31
  7. 38
  8. 24
  9. 12
  10. 275
  11. 2
  12. 5
  13. 28
  14. 11
  15. 30
  16. 24
  17. 14
  18. 550
  19. 29
  20. 35
  21. 36
  22. 5
  23. 20
  24. 500
  25. 14
  26. 210
  27. 17
  28. 8
  29. 25
  30. 11
  31. 6
  32. 64
  33. 18
  34. 25
  35. 10
  36. 5
  37. 37
  38. 8
  39. 60
  40. 21

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