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goldfiish [28.3K]
2 years ago
11

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 a

t 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?
Mathematics
1 answer:
vladimir1956 [14]2 years ago
6 0

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

Time =\frac{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

\frac{x}{10} +\frac{x}{3} = 6.5

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

Than the equation becomes

3x +10x = 195

solving

13x = 195

x = \frac{195}{13}

x = 15 miles into the country

Hence proved

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