Answer:
Their average speed during the entire round trip = 24 miles per hour
Step-by-step explanation:
To determine:
What was their average speed during the entire round trip?
Information Fetching and Solution Steps:
- A cyclist travels at 20 kilometers per hour when cycling uphill
- 24 kilometers per hour when cycling on flat ground
- 30 kilometers per hour when cycling downhill
On a sunny day, they cycle the hilly road from Aopslandia to Beast Island before turning around and cycling back to Aopslandia.
Let us assume that that the road is uphill one way and downhill the other way
As we know that the formula of average speed
[tex]Average\:speed=\:\frac{Total\:Distance\:\:Covered}{Total\:Time\:taken\:to\:cover\:the\:distance}\:\:[/tex]
- [tex]As\:they\:do\:an\:out\:and\:back\:trip[/tex]
[tex]The\:up\:and\:down\:portions\:reverse\:and\:the\:flat\:remains\:the\:same[/tex]
On the way out:
Say
[tex]60\:miles\:up\:hill=\:3\:hours[/tex]
[tex]flat\:48=\:2\:hrs[/tex]
[tex]down\:120=4\:hrs[/tex]
on the way back:
[tex]up\:120\:=\:6\:hrs[/tex]
[tex]flat\:48=\:2\ hrs[/tex]
[tex]down\:60=\:2\:hrs[/tex]
So,
[tex]total\:miles\:=\:456\:miles[/tex]
[tex]total\:time\:=\:19\:hrs\:\:\:[/tex]
As
[tex]Average\:speed=\:\frac{Total\:Distance\:\:Covered}{Total\:Time\:taken\:to\:cover\:the\:distance}\:\:[/tex]
Therefore,
[tex]Average\:speed=\:\frac{456}{19}\:\:\:[/tex]
= 24 miles per hour
Hence, their average speed during the entire round trip = 24 miles per hour
Keywords: speed, time, average speed
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