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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 447 · 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 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  2. 2.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  3. 3.A boat goes 26 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes 54 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  8. 8.A boat goes 24 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)?
  9. 9.Two trains, 170 m and 430 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?
  10. 10.A boat goes 55 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  11. 11.A boat goes at 14 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 52 km upstream and come back?
  12. 12.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  14. 14.A boat goes 69 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  15. 15.A boat goes 54 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A boat goes 32 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  17. 17.Two trains, 120 m and 180 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?
  18. 18.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  19. 19.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 64 km upstream and come back?
  20. 20.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  23. 23.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?
  24. 24.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  25. 25.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  26. 26.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 12 km upstream and come back?
  29. 29.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 110 m and 130 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?
  32. 32.A boat goes 48 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A boat goes 24 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 70 m and 175 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?
  36. 36.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  37. 37.Two trains, 130 m and 290 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?
  38. 38.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 38 km upstream and come back?
  39. 39.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 19
  2. 250
  3. 9
  4. 22
  5. 24
  6. 12
  7. 3
  8. 6
  9. 12
  10. 2
  11. 28
  12. 19
  13. 18
  14. 4
  15. 16
  16. 5
  17. 10
  18. 24
  19. 24
  20. 14
  21. 29
  22. 450
  23. 20
  24. 180
  25. 30
  26. 11
  27. 28
  28. 4
  29. 15
  30. 7
  31. 6
  32. 12
  33. 2
  34. 8
  35. 7
  36. 26
  37. 12
  38. 40
  39. 30
  40. 7

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