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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 138 · 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 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)?
  2. 2.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  4. 4.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  6. 6.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  8. 8.A boat goes 48 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  9. 9.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?
  10. 10.Two trains, 200 m and 50 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?
  11. 11.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  12. 12.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  13. 13.Two trains, 110 m and 130 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?
  14. 14.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  15. 15.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 69 km upstream and come back?
  16. 16.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  17. 17.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  18. 18.Two trains, 60 m and 260 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?
  19. 19.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  20. 20.Two trains, 190 m and 250 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?
  21. 21.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  22. 22.A boat goes 100 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)?
  23. 23.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  24. 24.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  25. 25.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  26. 26.Two trains, 60 m and 240 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?
  27. 27.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  29. 29.Two trains, 210 m and 70 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?
  30. 30.Two trains, 120 m and 60 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?
  31. 31.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  33. 33.A boat goes 57 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  34. 34.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 60 km upstream and come back?
  35. 35.A boat goes 66 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  36. 36.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  37. 37.Two trains, 80 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?
  38. 38.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  39. 39.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 112 km upstream and come back?
  40. 40.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 54 km upstream and come back?

Answer key

  1. 2
  2. 13
  3. 25
  4. 7
  5. 325
  6. 27
  7. 14
  8. 5
  9. 12
  10. 10
  11. 32
  12. 20
  13. 12
  14. 25
  15. 72
  16. 450
  17. 195
  18. 8
  19. 400
  20. 11
  21. 37
  22. 18
  23. 20
  24. 18
  25. 60
  26. 12
  27. 14
  28. 17
  29. 7
  30. 6
  31. 20
  32. 100
  33. 1
  34. 16
  35. 3
  36. 37
  37. 7
  38. 19
  39. 70
  40. 60

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