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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 281 · 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 25 seconds. How long is the train (in metres)?
  2. 2.A boat goes 34 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  3. 3.A boat goes 24 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  4. 4.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  5. 5.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  7. 7.A boat goes 95 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  8. 8.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  9. 9.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  11. 11.Two trains, 130 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?
  12. 12.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  13. 13.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  14. 14.A boat goes 45 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  15. 15.Two trains, 60 m and 140 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?
  16. 16.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  18. 18.Two trains, 160 m and 60 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 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes 50 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  23. 23.A boat goes 44 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  24. 24.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  25. 25.A boat goes at 19 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 68 km upstream and come back?
  26. 26.A boat goes 55 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  27. 27.Two trains, 140 m and 85 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?
  28. 28.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 105 km upstream and come back?
  29. 29.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  30. 30.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 56 km upstream and come back?
  32. 32.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  33. 33.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  34. 34.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  35. 35.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  36. 36.A boat goes at 15 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 87 km upstream and come back?
  37. 37.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  38. 38.Two trains, 90 m and 110 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?
  39. 39.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  40. 40.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 500
  2. 3
  3. 2
  4. 230
  5. 10
  6. 30
  7. 2
  8. 33
  9. 14
  10. 240
  11. 10
  12. 20
  13. 32
  14. 1
  15. 5
  16. 13
  17. 22
  18. 11
  19. 29
  20. 11
  21. 8
  22. 180
  23. 1
  24. 480
  25. 19
  26. 1
  27. 9
  28. 36
  29. 28
  30. 21
  31. 11
  32. 24
  33. 34
  34. 26
  35. 475
  36. 90
  37. 22
  38. 5
  39. 26
  40. 9

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