Speed and Distance Problems Quiz

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Questions and Answers

How many seconds will it take for a train traveling at 45 km/hr to cover a distance of 0.8 km?

  • 36 sec. (correct)
  • 120 sec.
  • 64 sec.
  • 90 sec.

At what speed must an aeroplane travel to cover a distance that is typically traversed in 5 hours at 240 km/hr in 1 2/3 hours?

  • 360 km/hr.
  • 600 km/hr. (correct)
  • 720 km/hr.
  • 300 km/hr.

If a train covers 4/5 km in 36 seconds, what is its speed in km/hr?

  • 72 km/hr.
  • 45 km/hr. (correct)
  • 90 km/hr.
  • 60 km/hr.

How long will it take for a train going 45 km/hr to cover a distance of 0.5 km?

<p>24 secs. (A)</p> Signup and view all the answers

If the speed of an aeroplane is increased from 240 km/hr to 600 km/hr, how much less time will it take to cover the same distance?

<p>2 hr. (C)</p> Signup and view all the answers

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Study Notes

Distance, Speed, and Time Calculations

  • A train traveling at 45 km/h needs to cover a distance of 4/5 km.
  • Time taken in seconds can be calculated using the formula: Time = Distance / Speed.
  • Convert speed from km/h to km/s: 45 km/h = 45/3600 km/s.
  • Calculate time for distance of 4/5 km: Time = (4/5) / (45/3600) yields 36 seconds.
  • The train will take 36 seconds to cover the distance.

Aeroplane Speed Requirements

  • An aeroplane travels a distance at a speed of 240 km/h for 5 hours.
  • Total distance covered can be calculated: Distance = Speed × Time = 240 km/h × 5 h = 1200 km.
  • To find the speed required to cover the same distance in 1 2/3 hours (or 5/3 hours), use the formula: Speed = Distance / Time.
  • Speed needed: 1200 km / (5/3 h) = 1200 km × (3/5) = 720 km/h.
  • Incorrect options for the speed required include 300 km/h, 360 km/h, and 600 km/h; correct speed is 720 km/h.

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