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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 501 · 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 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes at 11 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 105 km upstream and come back?
  5. 5.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.Two trains, 130 m and 255 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?
  7. 7.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  8. 8.Two trains, 80 m and 145 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?
  9. 9.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  10. 10.A boat goes at 14 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 66 km upstream and come back?
  11. 11.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  12. 12.Two trains, 70 m and 380 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?
  13. 13.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  14. 14.Two trains, 90 m and 180 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?
  15. 15.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  16. 16.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  18. 18.A boat goes 28 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes 63 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  21. 21.A boat goes 66 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  22. 22.Two trains, 80 m and 160 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?
  23. 23.A boat goes at 15 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 48 km upstream and come back?
  24. 24.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 72 km upstream and come back?
  25. 25.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  26. 26.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)?
  27. 27.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  28. 28.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  30. 30.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  31. 31.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.Two trains, 190 m and 110 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?
  34. 34.Two trains, 190 m and 50 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?
  35. 35.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  36. 36.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  37. 37.Two trains, 200 m and 100 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?
  38. 38.A boat goes 60 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  40. 40.Two trains, 90 m and 190 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?

Answer key

  1. 6
  2. 12
  3. 6
  4. 22
  5. 15
  6. 11
  7. 500
  8. 9
  9. 200
  10. 14
  11. 23
  12. 10
  13. 34
  14. 9
  15. 32
  16. 12
  17. 60
  18. 10
  19. 18
  20. 2
  21. 2
  22. 8
  23. 10
  24. 22
  25. 70
  26. 18
  27. 350
  28. 5
  29. 260
  30. 42
  31. 7
  32. 11
  33. 10
  34. 8
  35. 13
  36. 90
  37. 10
  38. 4
  39. 150
  40. 8

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