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?
Accepted Solution
A:
Answer:I wil have traveled 20 miles by the moment I meet my friendStep-by-step explanation:HiWe are going to use de following formula [tex]x_{f}=vt+x_{0}[/tex]In my case speed will be positive, so [tex]v=15mi/h[/tex] and [tex]x_{0}=0mi[/tex], For my friend speed will be negative, so [tex]v=-12mi/h[/tex] and [tex]x_{0}=36mi[/tex]. Then we can build two equations(1) [tex]x_{f}=15t+0 \ or \ t=\frac{x_{f}}{15}[/tex](2) [tex]x_{f}=-12t+36[/tex]By replacing (1) in (2) [tex]x_{f}=-12(\frac{x_{f}}{15} )+36=-\frac{4}{5} x_{f}+36[/tex]Multiplying both sides by 5 [tex]5x_{f}=-4x_{f}+180\\9x_{f}=180\\x_{f}=\frac{180}{9} =20[/tex]So I wil have traveled 20 miles by the moment I meet my friend.