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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 443 · 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 6 km/h. How many hours does the boat take to go 104 km upstream and come back?
  2. 2.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  3. 3.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  6. 6.Two trains, 50 m and 75 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?
  7. 7.A boat goes 44 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  8. 8.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  9. 9.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.Two trains, 90 m and 190 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?
  12. 12.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  14. 14.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 45 km upstream and come back?
  15. 15.A boat goes at 16 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 112 km upstream and come back?
  16. 16.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  17. 17.Two trains, 90 m and 150 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?
  18. 18.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  19. 19.Two trains, 60 m and 325 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?
  20. 20.Two trains, 190 m and 195 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, 200 m and 120 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  22. 22.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  24. 24.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 60 km upstream and come back?
  25. 25.Two trains, 100 m and 350 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?
  26. 26.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  27. 27.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  28. 28.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  29. 29.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  30. 30.A boat goes at 20 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 75 km upstream and come back?
  31. 31.A boat goes at 17 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 84 km upstream and come back?
  32. 32.A boat goes at 15 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 63 km upstream and come back?
  33. 33.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  34. 34.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  35. 35.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  36. 36.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  37. 37.Two trains, 70 m and 230 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?
  38. 38.A boat goes at 14 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 81 km upstream and come back?
  39. 39.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  40. 40.A boat goes at 7 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?

Answer key

  1. 112
  2. 750
  3. 13
  4. 11
  5. 41
  6. 5
  7. 3
  8. 28
  9. 26
  10. 20
  11. 8
  12. 9
  13. 70
  14. 14
  15. 32
  16. 100
  17. 8
  18. 22
  19. 11
  20. 11
  21. 8
  22. 30
  23. 210
  24. 25
  25. 10
  26. 240
  27. 24
  28. 525
  29. 27
  30. 8
  31. 17
  32. 10
  33. 700
  34. 150
  35. 34
  36. 10
  37. 12
  38. 84
  39. 27
  40. 28

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