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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 662 · 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 69 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A boat goes 60 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  3. 3.Two trains, 160 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?
  4. 4.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  5. 5.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  6. 6.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  7. 7.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  10. 10.A boat goes at 20 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 70 km upstream and come back?
  11. 11.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 96 km upstream and come back?
  12. 12.A boat goes 40 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  13. 13.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  14. 14.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.Two trains, 180 m and 180 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?
  16. 16.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  17. 17.A boat goes at 13 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  18. 18.Two trains, 170 m and 70 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?
  19. 19.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  20. 20.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes 65 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A boat goes 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  23. 23.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  24. 24.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  25. 25.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  26. 26.Two trains, 50 m and 125 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?
  27. 27.A boat goes 100 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  28. 28.Two trains, 190 m and 210 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?
  29. 29.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  30. 30.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 54 km upstream and come back?
  31. 31.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  32. 32.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  34. 34.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  35. 35.A boat goes 52 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  36. 36.A boat goes 38 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  37. 37.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  38. 38.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.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 27 km upstream and come back?
  40. 40.A boat goes at 14 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 40 km upstream and come back?

Answer key

  1. 20
  2. 5
  3. 10
  4. 600
  5. 13
  6. 12
  7. 21
  8. 28
  9. 575
  10. 16
  11. 32
  12. 1
  13. 420
  14. 8
  15. 9
  16. 31
  17. 26
  18. 12
  19. 37
  20. 21
  21. 9
  22. 2
  23. 18
  24. 41
  25. 17
  26. 5
  27. 2
  28. 8
  29. 480
  30. 20
  31. 750
  32. 16
  33. 24
  34. 390
  35. 4
  36. 5
  37. 21
  38. 8
  39. 28
  40. 7

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