Question 929435


A man can ride his bike 18 miles in the same time it takes him to run 6 miles.  He can ride his bike 10 mph faster than he can run.  How fast can he ride his bike?
<pre><font face = "Tohoma" size = 4 color = "indigo"><b>Let biking speed be S
Then running speed is: S – 10
Therefore, {{{18/S = 6/(S - 10)}}}
18(S – 10) = 6S -------- Cross-multiplying
18S – 180 = 6S
18S – 6S = 180
12S = 180
S, or biking speed = {{{180/12}}}, or {{{highlight_green(15)}}} mph
You can do the check!! 
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