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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 512 · 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 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 24 km upstream and come back?
  3. 3.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  4. 4.Two trains, 50 m and 110 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?
  5. 5.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  6. 6.A boat goes at 14 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 72 km upstream and come back?
  7. 7.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  8. 8.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  9. 9.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  10. 10.A boat goes 39 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A boat goes 80 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  12. 12.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 52 km upstream and come back?
  14. 14.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  15. 15.A boat goes 44 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  16. 16.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  17. 17.A boat goes 80 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  18. 18.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  20. 20.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  21. 21.Two trains, 50 m and 125 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?
  22. 22.Two trains, 70 m and 410 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 at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 9 km upstream and come back?
  24. 24.Two trains, 60 m and 220 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  25. 25.A boat goes 42 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  26. 26.Two trains, 160 m and 190 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?
  27. 27.A boat goes 30 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  28. 28.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  29. 29.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  32. 32.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  34. 34.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.Two trains, 60 m and 300 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?
  37. 37.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  38. 38.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 100 km upstream and come back?
  39. 39.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?

Answer key

  1. 7
  2. 5
  3. 18
  4. 8
  5. 26
  6. 21
  7. 500
  8. 18
  9. 100
  10. 8
  11. 3
  12. 8
  13. 56
  14. 240
  15. 2
  16. 80
  17. 1
  18. 22
  19. 270
  20. 24
  21. 5
  22. 12
  23. 10
  24. 7
  25. 4
  26. 10
  27. 4
  28. 525
  29. 30
  30. 13
  31. 26
  32. 18
  33. 18
  34. 6
  35. 17
  36. 12
  37. 19
  38. 60
  39. 24
  40. 125

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