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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 524 · 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 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 200 m and 130 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?
  4. 4.Two trains, 110 m and 130 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?
  5. 5.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  6. 6.A boat goes 60 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.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)?
  8. 8.Two trains, 160 m and 120 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?
  9. 9.Two trains, 160 m and 155 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?
  10. 10.A boat goes at 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 112 km upstream and come back?
  11. 11.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes 22 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A boat goes 45 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  15. 15.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 72 km upstream and come back?
  16. 16.Two trains, 50 m and 280 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?
  17. 17.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 39 km upstream and come back?
  19. 19.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  20. 20.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  21. 21.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  23. 23.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  24. 24.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  25. 25.Two trains, 130 m and 70 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?
  26. 26.Two trains, 150 m and 210 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?
  27. 27.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  29. 29.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  30. 30.Two trains, 130 m and 170 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?
  31. 31.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  33. 33.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  34. 34.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.Two trains, 160 m and 190 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?
  37. 37.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?
  38. 38.A boat goes 57 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.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?

Answer key

  1. 25
  2. 10
  3. 11
  4. 12
  5. 135
  6. 14
  7. 2
  8. 7
  9. 7
  10. 60
  11. 15
  12. 10
  13. 12
  14. 225
  15. 80
  16. 11
  17. 29
  18. 16
  19. 300
  20. 160
  21. 30
  22. 23
  23. 340
  24. 32
  25. 10
  26. 12
  27. 11
  28. 19
  29. 725
  30. 10
  31. 15
  32. 26
  33. 105
  34. 23
  35. 28
  36. 10
  37. 14
  38. 16
  39. 10
  40. 12

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