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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 147 · 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 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  2. 2.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes 50 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  4. 4.Two trains, 100 m and 110 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?
  5. 5.Two trains, 100 m and 285 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  6. 6.Two trains, 120 m and 320 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?
  7. 7.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  9. 9.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  10. 10.A boat goes 100 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  13. 13.Two trains, 60 m and 360 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?
  14. 14.A boat goes 44 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  16. 16.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  17. 17.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  18. 18.Two trains, 120 m and 55 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?
  19. 19.A boat goes 28 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)?
  20. 20.Two trains, 50 m and 265 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?
  21. 21.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  22. 22.A boat goes 105 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 24 km upstream and come back?
  24. 24.A boat goes at 16 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 62 km upstream and come back?
  25. 25.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  28. 28.A boat goes at 15 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 75 km upstream and come back?
  29. 29.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  30. 30.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  32. 32.Two trains, 80 m and 120 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?
  33. 33.Two trains, 70 m and 410 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?
  34. 34.A boat goes 22 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.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?
  37. 37.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  38. 38.Two trains, 130 m and 255 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?
  39. 39.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 48 km upstream and come back?
  40. 40.A boat goes 80 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 22
  2. 27
  3. 4
  4. 7
  5. 11
  6. 11
  7. 25
  8. 5
  9. 160
  10. 19
  11. 13
  12. 19
  13. 12
  14. 10
  15. 26
  16. 33
  17. 20
  18. 7
  19. 11
  20. 9
  21. 300
  22. 17
  23. 8
  24. 64
  25. 20
  26. 14
  27. 32
  28. 18
  29. 25
  30. 17
  31. 34
  32. 8
  33. 12
  34. 4
  35. 28
  36. 32
  37. 345
  38. 11
  39. 27
  40. 17

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