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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 218 · 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 train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  2. 2.A boat goes 57 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  4. 4.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  5. 5.A boat goes 57 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A boat goes 42 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes 56 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  9. 9.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 15 km upstream and come back?
  11. 11.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 110 km upstream and come back?
  12. 12.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.Two trains, 50 m and 225 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?
  14. 14.Two trains, 100 m and 120 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?
  15. 15.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 105 km upstream and come back?
  16. 16.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.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?
  18. 18.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  19. 19.Two trains, 70 m and 245 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?
  20. 20.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  21. 21.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 72 km upstream and come back?
  22. 22.Two trains, 100 m and 170 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?
  23. 23.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  24. 24.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  25. 25.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  26. 26.A boat goes at 16 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 72 km upstream and come back?
  27. 27.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes 30 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  30. 30.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  31. 31.A boat goes at 14 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 48 km upstream and come back?
  32. 32.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  33. 33.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 9 km upstream and come back?
  34. 34.A boat goes at 12 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 95 km upstream and come back?
  35. 35.Two trains, 70 m and 200 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?
  36. 36.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  37. 37.A boat goes 75 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 19
  2. 14
  3. 21
  4. 60
  5. 18
  6. 10
  7. 8
  8. 3
  9. 15
  10. 6
  11. 32
  12. 5
  13. 11
  14. 11
  15. 110
  16. 24
  17. 22
  18. 18
  19. 9
  20. 28
  21. 22
  22. 9
  23. 37
  24. 25
  25. 23
  26. 12
  27. 25
  28. 27
  29. 4
  30. 360
  31. 14
  32. 18
  33. 10
  34. 24
  35. 6
  36. 36
  37. 3
  38. 24
  39. 16
  40. 13

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