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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 136 · 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 44 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  2. 2.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 96 km upstream and come back?
  3. 3.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes 52 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)?
  5. 5.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)?
  6. 6.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.Two trains, 150 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?
  8. 8.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  9. 9.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  10. 10.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 27 km upstream and come back?
  11. 11.A boat goes 46 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.Two trains, 90 m and 210 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.Two trains, 90 m and 310 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?
  14. 14.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  15. 15.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.Two trains, 90 m and 295 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?
  17. 17.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  18. 18.Two trains, 90 m and 90 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?
  19. 19.A boat goes 24 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  20. 20.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  21. 21.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 102 km upstream and come back?
  22. 22.Two trains, 250 m and 70 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?
  23. 23.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  24. 24.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  25. 25.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  26. 26.Two trains, 120 m and 360 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?
  27. 27.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  28. 28.Two trains, 50 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?
  29. 29.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 56 km upstream and come back?
  30. 30.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 90 m and 210 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?
  32. 32.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  33. 33.A boat goes 30 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 57 km upstream and come back?
  36. 36.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  37. 37.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  39. 39.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  40. 40.Two trains, 120 m and 105 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?

Answer key

  1. 1
  2. 14
  3. 12
  4. 9
  5. 19
  6. 18
  7. 10
  8. 25
  9. 19
  10. 30
  11. 20
  12. 10
  13. 10
  14. 140
  15. 17
  16. 11
  17. 100
  18. 6
  19. 1
  20. 22
  21. 40
  22. 8
  23. 32
  24. 26
  25. 39
  26. 12
  27. 24
  28. 5
  29. 18
  30. 9
  31. 10
  32. 34
  33. 4
  34. 17
  35. 60
  36. 19
  37. 11
  38. 18
  39. 26
  40. 5

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