Acyclist rides into the country at an average speed of 10 miles per hour. when his bicycle gets a flat tire, he walks it back at an average speed of 3 miles per hour. if he returns home 6 and a half hours after he starts, how far into the country does he go?

Answer

Find out the  how far into the country does he go.  

To proof

Let us assume that the total diatance travelled into the country be x .

Formula

As given

A cyclist rides into the country at an average speed of 10 miles per hour. When his bicycle gets a flat tire,

he walks it back at an average speed of 3 miles per hour.

If he returns home 6 and a half hours after he starts i.e the total time including the bike time and walk time of the cyclist be 6.5 hours.

Than the equation becomes

L.C.M of (10,3) = 30

Than the equation becomes

3x +10x = 195

solving

13x = 195

x = 15 miles into the country

Hence proved

15 miles

Step-by-step explanation:

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

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