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Yuki888 [10]
3 years ago
5

PLZ help picture included

Mathematics
1 answer:
cupoosta [38]3 years ago
6 0

Answer:

4 miles

Step-by-step explanation:

Let

x ----> the time to returned back biking in hours

d ---> the distance in miles

s ---> speed in miles per hour

Remember that

The speed or rate is equal to divide the distance by the time

s=\frac{d}{t}

The distance is equal to multiply the speed by the time

d=st

we know that

18\ min=\frac{18}{60}\ hours

The distance to his friend's house and the distance of return is the same

so

10x=4(x+\frac{18}{60})

solve for x

10x=4x+\frac{18}{15}

subtract 4x both sides

10x-4x=\frac{18}{15}

6x=\frac{18}{15}

x=\frac{1}{5}\ hours

The total distance of the round trip is

y=10x+4x+\frac{18}{15}

substitute the value of x

y=10(\frac{1}{5})+4(\frac{1}{5})+\frac{18}{15}

y=2+2=4\ miles

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