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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 267 · 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 running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  2. 2.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  8. 8.A boat goes 20 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  9. 9.A boat goes 38 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  10. 10.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?
  11. 11.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.Two trains, 100 m and 100 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?
  13. 13.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  16. 16.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  17. 17.A boat goes 26 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  18. 18.A boat goes 115 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  19. 19.A boat goes 68 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  20. 20.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  21. 21.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  24. 24.Two trains, 90 m and 190 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?
  25. 25.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  26. 26.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  28. 28.A boat goes at 17 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 99 km upstream and come back?
  29. 29.A boat goes 75 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)?
  30. 30.A boat goes at 17 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 60 km upstream and come back?
  31. 31.Two trains, 130 m and 230 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?
  32. 32.Two trains, 130 m and 90 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?
  33. 33.Two trains, 90 m and 295 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  34. 34.A boat goes 34 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A boat goes 30 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)?
  36. 36.A boat goes 44 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  37. 37.Two trains, 150 m and 300 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  38. 38.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  39. 39.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  40. 40.A boat goes 22 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)?

Answer key

  1. 100
  2. 16
  3. 29
  4. 13
  5. 18
  6. 25
  7. 33
  8. 2
  9. 1
  10. 18
  11. 5
  12. 8
  13. 24
  14. 15
  15. 36
  16. 160
  17. 2
  18. 5
  19. 1
  20. 330
  21. 25
  22. 12
  23. 28
  24. 7
  25. 31
  26. 13
  27. 16
  28. 102
  29. 20
  30. 17
  31. 12
  32. 11
  33. 11
  34. 13
  35. 7
  36. 5
  37. 10
  38. 29
  39. 675
  40. 8

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