Question

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, how far into the country does he go?

Answer 1

15 miles

Explanation:

Answer 2

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

`Time =(Distance)/(Speed)`

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

`(x)/(10) +(x)/(3) = 6.5`

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

Than the equation becomes

3x +10x = 195

solving

13x = 195

`x = (195)/(13)`

x = 15 miles into the country

Hence proved