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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 418 · 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 running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  2. 2.Two trains, 80 m and 325 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?
  3. 3.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  4. 4.A boat goes 33 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)?
  5. 5.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 78 km upstream and come back?
  6. 6.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  7. 7.A boat goes 42 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)?
  8. 8.Two trains, 210 m and 90 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?
  9. 9.A boat goes 20 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  10. 10.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes 36 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.Two trains, 180 m and 120 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?
  13. 13.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  14. 14.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  15. 15.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  16. 16.A boat goes at 20 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 48 km upstream and come back?
  17. 17.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 72 km upstream and come back?
  18. 18.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 60 km upstream and come back?
  19. 19.Two trains, 140 m and 280 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 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 110 m and 385 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?
  23. 23.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?
  24. 24.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  25. 25.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?
  26. 26.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  27. 27.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 18 km upstream and come back?
  28. 28.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  29. 29.A boat goes at 18 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 34 km upstream and come back?
  30. 30.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  31. 31.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 51 km upstream and come back?
  32. 32.Two trains, 190 m and 110 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 boat goes at 20 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 38 km upstream and come back?
  34. 34.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  35. 35.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  36. 36.Two trains, 160 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?
  37. 37.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  38. 38.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?
  39. 39.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.Two trains, 200 m and 150 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?

Answer key

  1. 60
  2. 9
  3. 36
  4. 10
  5. 32
  6. 30
  7. 16
  8. 12
  9. 3
  10. 7
  11. 8
  12. 6
  13. 240
  14. 120
  15. 300
  16. 5
  17. 30
  18. 16
  19. 12
  20. 19
  21. 20
  22. 11
  23. 13
  24. 27
  25. 24
  26. 27
  27. 20
  28. 24
  29. 18
  30. 25
  31. 20
  32. 10
  33. 20
  34. 37
  35. 17
  36. 11
  37. 140
  38. 13
  39. 29
  40. 10

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