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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 644 · 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 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  2. 2.Two trains, 90 m and 90 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?
  3. 3.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  4. 4.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  5. 5.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  7. 7.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  8. 8.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?
  9. 9.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?
  10. 10.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  11. 11.Two trains, 200 m and 150 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?
  12. 12.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 35 km upstream and come back?
  13. 13.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  14. 14.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.Two trains, 190 m and 125 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?
  17. 17.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  18. 18.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  19. 19.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  20. 20.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  21. 21.A train running at 90 km/h passes a pole in 17 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, 180 m and 120 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  24. 24.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  25. 25.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  27. 27.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 96 km upstream and come back?
  28. 28.A boat goes 66 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  30. 30.A boat goes 110 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.Two trains, 230 m and 190 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?
  32. 32.A boat goes at 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 75 km upstream and come back?
  33. 33.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  34. 34.Two trains, 80 m and 160 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?
  35. 35.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  39. 39.A boat goes 65 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  40. 40.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?

Answer key

  1. 280
  2. 6
  3. 43
  4. 23
  5. 23
  6. 135
  7. 21
  8. 20
  9. 9
  10. 150
  11. 10
  12. 12
  13. 110
  14. 14
  15. 21
  16. 7
  17. 500
  18. 390
  19. 50
  20. 80
  21. 425
  22. 60
  23. 6
  24. 18
  25. 10
  26. 25
  27. 40
  28. 19
  29. 23
  30. 18
  31. 12
  32. 78
  33. 12
  34. 12
  35. 9
  36. 28
  37. 13
  38. 29
  39. 5
  40. 210

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