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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 75 · 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 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 24 km upstream and come back?
  2. 2.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  3. 3.A boat goes 48 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  5. 5.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  6. 6.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 54 km upstream and come back?
  8. 8.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  9. 9.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  10. 10.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 40 km upstream and come back?
  11. 11.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  12. 12.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  15. 15.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)?
  16. 16.A boat goes 56 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  17. 17.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 26 km upstream and come back?
  18. 18.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  19. 19.Two trains, 50 m and 250 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  20. 20.Two trains, 190 m and 60 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  21. 21.A boat goes 48 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  23. 23.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  24. 24.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  25. 25.A boat goes at 18 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 105 km upstream and come back?
  26. 26.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?
  27. 27.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 55 km upstream and come back?
  28. 28.Two trains, 90 m and 90 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?
  29. 29.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  30. 30.A boat goes at 15 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 80 km upstream and come back?
  31. 31.Two trains, 140 m and 110 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  32. 32.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  34. 34.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  35. 35.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  36. 36.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  37. 37.A boat goes 51 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A boat goes at 7 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?
  39. 39.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 14
  2. 26
  3. 19
  4. 19
  5. 240
  6. 7
  7. 30
  8. 24
  9. 225
  10. 9
  11. 21
  12. 20
  13. 17
  14. 18
  15. 14
  16. 1
  17. 28
  18. 110
  19. 12
  20. 10
  21. 20
  22. 400
  23. 60
  24. 460
  25. 12
  26. 8
  27. 16
  28. 6
  29. 16
  30. 12
  31. 10
  32. 14
  33. 38
  34. 33
  35. 20
  36. 24
  37. 12
  38. 35
  39. 17
  40. 13

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