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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 293 · 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 19 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 105 km upstream and come back?
  2. 2.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.Two trains, 60 m and 80 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  6. 6.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes at 14 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?
  8. 8.A boat goes 36 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  9. 9.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.Two trains, 50 m and 170 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?
  11. 11.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  12. 12.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  13. 13.A boat goes 28 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A boat goes 44 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  17. 17.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  18. 18.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  19. 19.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.Two trains, 60 m and 115 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?
  21. 21.Two trains, 120 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?
  22. 22.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  23. 23.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 22 km upstream and come back?
  24. 24.A boat goes at 14 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 115 km upstream and come back?
  25. 25.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.Two trains, 70 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?
  27. 27.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  29. 29.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  31. 31.A boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 64 km upstream and come back?
  32. 32.Two trains, 120 m and 60 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?
  33. 33.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  34. 34.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  35. 35.A boat goes at 11 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  36. 36.A boat goes at 19 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 36 km upstream and come back?
  37. 37.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  38. 38.Two trains, 220 m and 165 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?
  39. 39.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 38
  2. 6
  3. 19
  4. 8
  5. 4
  6. 14
  7. 14
  8. 1
  9. 8
  10. 11
  11. 44
  12. 14
  13. 9
  14. 9
  15. 22
  16. 13
  17. 300
  18. 35
  19. 12
  20. 5
  21. 11
  22. 175
  23. 12
  24. 28
  25. 19
  26. 10
  27. 27
  28. 250
  29. 18
  30. 32
  31. 20
  32. 6
  33. 195
  34. 50
  35. 22
  36. 19
  37. 13
  38. 11
  39. 25
  40. 18

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