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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 630 · 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 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  3. 3.Two trains, 190 m and 160 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?
  4. 4.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  5. 5.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  7. 7.Two trains, 170 m and 70 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?
  8. 8.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  9. 9.A boat goes 30 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  11. 11.A boat goes at 12 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 42 km upstream and come back?
  12. 12.A boat goes at 14 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 108 km upstream and come back?
  13. 13.Two trains, 180 m and 150 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?
  14. 14.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  15. 15.A boat goes 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  16. 16.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  19. 19.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.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 108 km upstream and come back?
  21. 21.A boat goes 100 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  22. 22.A boat goes 45 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  25. 25.Two trains, 150 m and 170 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  26. 26.Two trains, 180 m and 100 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?
  27. 27.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  28. 28.Two trains, 50 m and 250 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?
  29. 29.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  30. 30.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 26 km upstream and come back?
  31. 31.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  32. 32.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  33. 33.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  34. 34.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  35. 35.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 31 km upstream and come back?
  36. 36.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  37. 37.Two trains, 210 m and 110 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?
  38. 38.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  39. 39.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 33 km upstream and come back?
  40. 40.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?

Answer key

  1. 23
  2. 23
  3. 10
  4. 28
  5. 15
  6. 18
  7. 8
  8. 20
  9. 8
  10. 24
  11. 16
  12. 112
  13. 11
  14. 31
  15. 2
  16. 6
  17. 14
  18. 44
  19. 16
  20. 33
  21. 4
  22. 7
  23. 25
  24. 39
  25. 8
  26. 8
  27. 440
  28. 10
  29. 600
  30. 28
  31. 240
  32. 350
  33. 22
  34. 300
  35. 32
  36. 225
  37. 8
  38. 21
  39. 14
  40. 36

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