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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 398 · 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 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  2. 2.Two trains, 150 m and 75 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?
  3. 3.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  4. 4.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  6. 6.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  8. 8.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  9. 9.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  10. 10.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 28 km upstream and come back?
  11. 11.Two trains, 50 m and 125 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?
  12. 12.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?
  13. 13.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  14. 14.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  15. 15.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  16. 16.Two trains, 100 m and 250 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?
  17. 17.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 21 km upstream and come back?
  18. 18.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  19. 19.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 84 km upstream and come back?
  21. 21.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  23. 23.A boat goes 36 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  24. 24.Two trains, 50 m and 125 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?
  25. 25.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?
  26. 26.Two trains, 200 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?
  27. 27.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes 60 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  30. 30.Two trains, 90 m and 120 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?
  31. 31.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  33. 33.A boat goes at 15 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 81 km upstream and come back?
  34. 34.Two trains, 190 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?
  35. 35.Two trains, 110 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?
  36. 36.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  37. 37.A boat goes at 18 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 80 km upstream and come back?
  38. 38.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes 32 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?

Answer key

  1. 435
  2. 5
  3. 300
  4. 29
  5. 32
  6. 26
  7. 22
  8. 20
  9. 29
  10. 16
  11. 5
  12. 24
  13. 220
  14. 21
  15. 750
  16. 10
  17. 10
  18. 45
  19. 9
  20. 20
  21. 15
  22. 20
  23. 5
  24. 7
  25. 19
  26. 12
  27. 24
  28. 15
  29. 25
  30. 6
  31. 5
  32. 125
  33. 30
  34. 12
  35. 12
  36. 180
  37. 9
  38. 14
  39. 14
  40. 22

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