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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 732 · 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.Two trains, 120 m and 120 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?
  2. 2.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  4. 4.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  5. 5.Two trains, 60 m and 60 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  6. 6.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes 16 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  8. 8.A boat goes 34 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.Two trains, 70 m and 175 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?
  10. 10.Two trains, 140 m and 130 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?
  11. 11.A boat goes 63 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  12. 12.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  14. 14.A boat goes at 18 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 68 km upstream and come back?
  15. 15.A boat goes 51 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A boat goes 64 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  17. 17.Two trains, 120 m and 105 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?
  18. 18.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes at 8 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?
  20. 20.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 35 km upstream and come back?
  21. 21.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 50 m and 130 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?
  23. 23.Two trains, 70 m and 380 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?
  24. 24.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  25. 25.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  26. 26.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes 36 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  28. 28.Two trains, 140 m and 100 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?
  29. 29.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  30. 30.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  31. 31.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  32. 32.Two trains, 50 m and 430 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?
  33. 33.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  34. 34.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 40 km upstream and come back?
  35. 35.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  36. 36.A train 360 m long runs at 72 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 8 seconds. How long is the train (in metres)?
  38. 38.Two trains, 50 m and 280 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  39. 39.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  40. 40.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?

Answer key

  1. 12
  2. 30
  3. 20
  4. 100
  5. 4
  6. 9
  7. 1
  8. 16
  9. 7
  10. 6
  11. 5
  12. 14
  13. 15
  14. 36
  15. 16
  16. 1
  17. 9
  18. 5
  19. 32
  20. 12
  21. 10
  22. 6
  23. 10
  24. 33
  25. 27
  26. 11
  27. 1
  28. 12
  29. 31
  30. 28
  31. 190
  32. 12
  33. 195
  34. 15
  35. 150
  36. 18
  37. 200
  38. 11
  39. 34
  40. 300

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