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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 58 · 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.Two trains, 120 m and 265 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?
  2. 2.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.Two trains, 50 m and 265 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?
  6. 6.Two trains, 70 m and 290 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?
  7. 7.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  10. 10.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  12. 12.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  13. 13.Two trains, 90 m and 150 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?
  14. 14.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 18 km upstream and come back?
  15. 15.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 54 km upstream and come back?
  16. 16.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  17. 17.A boat goes at 16 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 78 km upstream and come back?
  18. 18.A boat goes at 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 20 km upstream and come back?
  19. 19.Two trains, 150 m and 290 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  20. 20.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  22. 22.Two trains, 100 m and 100 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?
  23. 23.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  24. 24.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  25. 25.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 108 km upstream and come back?
  26. 26.A boat goes 60 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  27. 27.Two trains, 110 m and 160 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?
  28. 28.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 35 km upstream and come back?
  30. 30.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  31. 31.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 84 km upstream and come back?
  32. 32.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 45 km upstream and come back?
  33. 33.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes at 19 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 68 km upstream and come back?
  35. 35.Two trains, 60 m and 325 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?
  36. 36.A boat goes 42 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A boat goes 105 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  38. 38.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 112 km upstream and come back?
  39. 39.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  40. 40.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 11
  2. 23
  3. 26
  4. 17
  5. 9
  6. 12
  7. 5
  8. 29
  9. 13
  10. 23
  11. 24
  12. 26
  13. 12
  14. 10
  15. 24
  16. 24
  17. 16
  18. 6
  19. 11
  20. 10
  21. 420
  22. 5
  23. 37
  24. 100
  25. 120
  26. 4
  27. 9
  28. 26
  29. 12
  30. 29
  31. 27
  32. 48
  33. 10
  34. 19
  35. 11
  36. 18
  37. 5
  38. 35
  39. 24
  40. 14

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