Question

A cyclist travels at 20 kilometers per hour when cycling uphill, 24 kilometers per hour when cycling on flat ground, and 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. What was their average speed during the entire round trip?

Answer 1

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

$Average\:speed=\:\frac{Total\:Distance\:\:Covered}{Total\:Time\:taken\:to\:cover\:the\:distance}\:\:$

• $As\:they\:do\:an\:out\:and\:back\:trip$

$The\:up\:and\:down\:portions\:reverse\:and\:the\:flat\:remains\:the\:same$

On the way out:

Say              

$60\:miles\:up\:hill=\:3\:hours$

$flat\:48=\:2\:hrs$

$down\:120=4\:hrs$

on the way back:

$up\:120\:=\:6\:hrs$

$flat\:48=\:2\ hrs$

$down\:60=\:2\:hrs$

So,

$total\:miles\:=\:456\:miles$

$total\:time\:=\:19\:hrs\:\:\:$

As

$Average\:speed=\:\frac{Total\:Distance\:\:Covered}{Total\:Time\:taken\:to\:cover\:the\:distance}\:\:$

Therefore,

$Average\:speed=\:\frac{456}{19}\:\:\:$

                        = 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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