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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 339 · 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 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.Two trains, 60 m and 65 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?
  3. 3.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  5. 5.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  6. 6.A boat goes 60 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A boat goes 76 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  8. 8.A boat goes 120 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  10. 10.A boat goes 42 km downstream in 2 hours and 38 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.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 35 km upstream and come back?
  12. 12.A boat goes 40 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  14. 14.Two trains, 70 m and 180 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?
  15. 15.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 85 km upstream and come back?
  16. 16.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  17. 17.Two trains, 150 m and 50 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?
  18. 18.A boat goes 18 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  19. 19.Two trains, 160 m and 120 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.Two trains, 90 m and 460 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?
  21. 21.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  22. 22.Two trains, 150 m and 250 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?
  23. 23.A boat goes 44 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  25. 25.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes 52 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  27. 27.Two trains, 60 m and 220 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?
  28. 28.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  29. 29.Two trains, 150 m and 120 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?
  30. 30.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  31. 31.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  32. 32.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes 100 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  34. 34.A boat goes 48 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  38. 38.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  39. 39.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.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 120 km upstream and come back?

Answer key

  1. 27
  2. 5
  3. 15
  4. 300
  5. 34
  6. 11
  7. 2
  8. 20
  9. 13
  10. 20
  11. 8
  12. 9
  13. 270
  14. 10
  15. 90
  16. 26
  17. 5
  18. 1
  19. 7
  20. 11
  21. 35
  22. 10
  23. 4
  24. 22
  25. 11
  26. 1
  27. 7
  28. 29
  29. 9
  30. 39
  31. 26
  32. 30
  33. 3
  34. 20
  35. 24
  36. 23
  37. 725
  38. 220
  39. 5
  40. 45

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