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You are 36 miles from a friend. You both start riding your bikes toward each other at the same time. You travel 15 miles per hour and your friend travels 3 miles slower. How far will you travel before you meet your friend?

User Hagar
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1 Answer

3 votes

Answer:

I wil have traveled 20 miles by the moment I meet my friend

Explanation:

Hi

We are going to use de following formula
x_(f)=vt+x_(0)

In my case speed will be positive, so
v=15mi/h and
x_(0)=0mi, For my friend speed will be negative, so
v=-12mi/h and
x_(0)=36mi. Then we can build two equations

(1)
x_(f)=15t+0 \ or \ t=(x_(f))/(15)

(2)
x_(f)=-12t+36

By replacing (1) in (2)
x_(f)=-12((x_(f))/(15) )+36=-(4)/(5) x_(f)+36

Multiplying both sides by 5


5x_(f)=-4x_(f)+180\\9x_(f)=180\\x_(f)=(180)/(9) =20

So I wil have traveled 20 miles by the moment I meet my friend.

User Zach Dennis
by
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