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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

Hi.

Okay, so this is a little bit complicated.

Let's call:

t = the amount of time he rode before the flat tire

so then,( 6.5 - t ) is the amount of time he walked the bike home

Since distance = rate x time, the distance he rode into the country must equal the distance he walked

the bike home.

10t = 3(6.5 - t)

10t = 19.5 - 3t

13t = 19.5

t = 1.5

So, he rode his bike 10mph x 1.5hrs = 15 miles into the country