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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 383 · 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 28 seconds. How long is the train (in metres)?
  2. 2.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  3. 3.Two trains, 70 m and 50 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  4. 4.Two trains, 80 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?
  5. 5.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  6. 6.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 40 km upstream and come back?
  7. 7.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  9. 9.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  10. 10.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  11. 11.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  12. 12.A boat goes 60 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  14. 14.A boat goes 88 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.Two trains, 90 m and 270 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?
  16. 16.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  17. 17.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  19. 19.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  20. 20.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  21. 21.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  22. 22.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 80 km upstream and come back?
  23. 23.A boat goes 60 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)?
  24. 24.Two trains, 100 m and 125 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?
  25. 25.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  26. 26.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  27. 27.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  28. 28.A boat goes 30 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  30. 30.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  31. 31.A boat goes 48 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes 84 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  35. 35.A boat goes at 17 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 104 km upstream and come back?
  36. 36.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  37. 37.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  38. 38.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 72 km upstream and come back?
  40. 40.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?

Answer key

  1. 560
  2. 400
  3. 4
  4. 7
  5. 150
  6. 14
  7. 8
  8. 525
  9. 25
  10. 14
  11. 36
  12. 10
  13. 42
  14. 19
  15. 8
  16. 420
  17. 5
  18. 29
  19. 750
  20. 17
  21. 130
  22. 44
  23. 18
  24. 9
  25. 90
  26. 575
  27. 550
  28. 9
  29. 12
  30. 31
  31. 15
  32. 22
  33. 18
  34. 110
  35. 17
  36. 36
  37. 15
  38. 20
  39. 27
  40. 37

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