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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 118 · 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 17 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 120 km upstream and come back?
  2. 2.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  3. 3.A boat goes 64 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  4. 4.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  5. 5.Two trains, 160 m and 170 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?
  6. 6.A boat goes 45 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  7. 7.A train 525 m long runs at 90 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 5 seconds. How long is the train (in metres)?
  9. 9.Two trains, 170 m and 215 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  10. 10.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  11. 11.Two trains, 80 m and 160 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?
  12. 12.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  13. 13.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  14. 14.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  15. 15.Two trains, 160 m and 240 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  16. 16.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  17. 17.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  19. 19.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 110 km upstream and come back?
  20. 20.Two trains, 170 m and 145 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?
  21. 21.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  24. 24.Two trains, 90 m and 230 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?
  25. 25.Two trains, 110 m and 130 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?
  26. 26.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  28. 28.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.Two trains, 100 m and 110 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  30. 30.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?
  31. 31.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)?
  32. 32.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  34. 34.Two trains, 110 m and 210 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?
  35. 35.Two trains, 80 m and 305 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  36. 36.A boat goes 32 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  37. 37.Two trains, 50 m and 130 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?
  38. 38.A boat goes 27 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  40. 40.A boat goes 125 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 34
  2. 23
  3. 5
  4. 23
  5. 11
  6. 3
  7. 21
  8. 125
  9. 11
  10. 320
  11. 12
  12. 29
  13. 80
  14. 128
  15. 8
  16. 425
  17. 13
  18. 35
  19. 120
  20. 7
  21. 19
  22. 22
  23. 220
  24. 8
  25. 12
  26. 14
  27. 14
  28. 28
  29. 6
  30. 18
  31. 10
  32. 20
  33. 28
  34. 8
  35. 11
  36. 1
  37. 4
  38. 6
  39. 380
  40. 5

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