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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 143 · 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 16 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 78 km upstream and come back?
  2. 2.Two trains, 190 m and 125 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?
  3. 3.A boat goes 40 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)?
  4. 4.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  5. 5.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  6. 6.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  7. 7.Two trains, 90 m and 160 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?
  8. 8.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  9. 9.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  10. 10.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  11. 11.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  12. 12.Two trains, 140 m and 60 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?
  13. 13.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 104 km upstream and come back?
  14. 14.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  15. 15.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  16. 16.Two trains, 50 m and 125 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.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?
  18. 18.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.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 45 km upstream and come back?
  20. 20.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  21. 21.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 39 km upstream and come back?
  23. 23.A boat goes 38 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  26. 26.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  27. 27.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  28. 28.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  30. 30.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  31. 31.A boat goes 45 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  33. 33.A boat goes at 12 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 119 km upstream and come back?
  34. 34.Two trains, 150 m and 450 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?
  35. 35.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  37. 37.A boat goes 28 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  38. 38.Two trains, 140 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?
  39. 39.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes 60 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 16
  2. 9
  3. 9
  4. 34
  5. 28
  6. 31
  7. 10
  8. 540
  9. 24
  10. 30
  11. 240
  12. 10
  13. 39
  14. 14
  15. 230
  16. 5
  17. 10
  18. 28
  19. 48
  20. 16
  21. 16
  22. 16
  23. 15
  24. 15
  25. 100
  26. 60
  27. 35
  28. 15
  29. 330
  30. 32
  31. 14
  32. 24
  33. 24
  34. 12
  35. 7
  36. 20
  37. 1
  38. 10
  39. 11
  40. 17

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