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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 24 · 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 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 60 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 110 km upstream and come back?
  4. 4.Two trains, 50 m and 75 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?
  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 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  7. 7.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  8. 8.Two trains, 180 m and 60 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  9. 9.Two trains, 140 m and 60 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  10. 10.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  11. 11.Two trains, 50 m and 250 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  12. 12.Two trains, 110 m and 170 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?
  13. 13.A boat goes 22 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  15. 15.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 68 km upstream and come back?
  16. 16.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  17. 17.A boat goes at 11 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 114 km upstream and come back?
  18. 18.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  19. 19.Two trains, 80 m and 195 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?
  20. 20.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  21. 21.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  22. 22.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  24. 24.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  25. 25.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  26. 26.A boat goes 20 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.Two trains, 240 m and 145 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?
  28. 28.Two trains, 110 m and 190 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?
  29. 29.A boat goes at 14 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 66 km upstream and come back?
  30. 30.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes at 17 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  32. 32.A boat goes 70 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  33. 33.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes 22 km downstream in 2 hours and 2 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A boat goes 95 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  36. 36.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes at 20 km/h in still water. The river flows at 19 km/h. How many hours does the boat take to go 78 km upstream and come back?
  38. 38.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  39. 39.A train 405 m long runs at 54 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 17 seconds. How long is the train (in metres)?

Answer key

  1. 19
  2. 17
  3. 32
  4. 5
  5. 10
  6. 21
  7. 27
  8. 8
  9. 4
  10. 225
  11. 10
  12. 8
  13. 7
  14. 20
  15. 72
  16. 700
  17. 44
  18. 36
  19. 11
  20. 26
  21. 21
  22. 9
  23. 130
  24. 200
  25. 360
  26. 9
  27. 11
  28. 12
  29. 14
  30. 28
  31. 17
  32. 2
  33. 8
  34. 6
  35. 1
  36. 9
  37. 80
  38. 165
  39. 27
  40. 425

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