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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 912 · 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 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  2. 2.A boat goes 65 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.Two trains, 70 m and 80 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?
  4. 4.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  5. 5.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  6. 6.A boat goes 84 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  8. 8.Two trains, 80 m and 100 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.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  11. 11.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  12. 12.A boat goes 80 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  13. 13.A boat goes 72 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.Two trains, 90 m and 190 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?
  15. 15.Two trains, 70 m and 130 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.Two trains, 90 m and 190 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?
  17. 17.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  18. 18.A boat goes 75 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.Two trains, 70 m and 70 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?
  20. 20.A boat goes 28 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  21. 21.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  22. 22.Two trains, 50 m and 265 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?
  23. 23.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  24. 24.A boat goes at 18 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 120 km upstream and come back?
  25. 25.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes 63 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A boat goes at 12 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 95 km upstream and come back?
  28. 28.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  29. 29.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 110 km upstream and come back?
  30. 30.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  32. 32.A boat goes 36 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.Two trains, 90 m and 110 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?
  34. 34.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  35. 35.Two trains, 100 m and 140 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?
  36. 36.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  37. 37.Two trains, 140 m and 160 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?
  38. 38.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  39. 39.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes 44 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 16
  2. 10
  3. 6
  4. 220
  5. 13
  6. 19
  7. 32
  8. 6
  9. 7
  10. 23
  11. 285
  12. 4
  13. 15
  14. 8
  15. 5
  16. 8
  17. 225
  18. 12
  19. 4
  20. 5
  21. 21
  22. 9
  23. 125
  24. 15
  25. 19
  26. 17
  27. 24
  28. 240
  29. 66
  30. 14
  31. 26
  32. 7
  33. 8
  34. 105
  35. 12
  36. 23
  37. 6
  38. 140
  39. 15
  40. 20

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