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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 782 · 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 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)?
  2. 2.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 130 m and 185 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 68 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  5. 5.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  6. 6.A boat goes 42 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  7. 7.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes 110 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  10. 10.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  11. 11.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)?
  12. 12.Two trains, 110 m and 160 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?
  13. 13.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  14. 14.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  15. 15.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  16. 16.Two trains, 120 m and 80 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?
  17. 17.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  18. 18.A boat goes at 20 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 64 km upstream and come back?
  19. 19.A boat goes at 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 20 km upstream and come back?
  20. 20.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  21. 21.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  22. 22.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  23. 23.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 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 108 km upstream and come back?
  25. 25.A boat goes 55 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  26. 26.A boat goes 64 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  28. 28.Two trains, 220 m and 55 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?
  29. 29.Two trains, 50 m and 70 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?
  30. 30.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  31. 31.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  32. 32.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 108 km upstream and come back?
  33. 33.Two trains, 170 m and 50 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?
  34. 34.A boat goes 33 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  35. 35.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  36. 36.Two trains, 60 m and 215 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?
  37. 37.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  38. 38.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  39. 39.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  40. 40.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 19
  2. 28
  3. 9
  4. 1
  5. 270
  6. 5
  7. 24
  8. 7
  9. 4
  10. 33
  11. 7
  12. 9
  13. 23
  14. 16
  15. 13
  16. 8
  17. 38
  18. 10
  19. 6
  20. 26
  21. 20
  22. 195
  23. 18
  24. 33
  25. 1
  26. 12
  27. 16
  28. 11
  29. 6
  30. 23
  31. 16
  32. 63
  33. 11
  34. 1
  35. 625
  36. 11
  37. 39
  38. 390
  39. 14
  40. 7

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