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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 207 · 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 boat goes at 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  2. 2.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  3. 3.Two trains, 100 m and 100 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  4. 4.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 35 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  6. 6.Two trains, 50 m and 150 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?
  7. 7.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  8. 8.A boat goes at 15 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 63 km upstream and come back?
  9. 9.A boat goes 28 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A boat goes 16 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  11. 11.Two trains, 220 m and 60 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  12. 12.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  13. 13.Two trains, 80 m and 60 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?
  14. 14.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  15. 15.Two trains, 150 m and 200 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?
  16. 16.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  18. 18.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 51 km upstream and come back?
  19. 19.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  20. 20.Two trains, 170 m and 110 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?
  21. 21.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  22. 22.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  23. 23.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?
  24. 24.Two trains, 170 m and 370 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?
  25. 25.A boat goes 65 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  26. 26.Two trains, 90 m and 50 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?
  27. 27.Two trains, 150 m and 50 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?
  28. 28.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  29. 29.Two trains, 110 m and 135 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?
  30. 30.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  33. 33.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  34. 34.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  36. 36.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes 46 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.Two trains, 110 m and 290 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  39. 39.Two trains, 210 m and 270 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  40. 40.A boat goes at 16 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 87 km upstream and come back?

Answer key

  1. 7
  2. 34
  3. 5
  4. 9
  5. 1
  6. 10
  7. 120
  8. 10
  9. 6
  10. 1
  11. 7
  12. 29
  13. 4
  14. 19
  15. 10
  16. 9
  17. 24
  18. 20
  19. 28
  20. 8
  21. 140
  22. 30
  23. 33
  24. 12
  25. 4
  26. 4
  27. 8
  28. 14
  29. 7
  30. 21
  31. 10
  32. 24
  33. 22
  34. 26
  35. 35
  36. 15
  37. 18
  38. 10
  39. 12
  40. 32

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