Answer
(a) My average speed is less than 25.0 m/s. More time is spent at 20.0 m/s than at 30.0 m/s.
(b) $Average~speed=24.0~m/s$
Work Step by Step
See conversion factors (inside front cover).
$1~mi=1609~m$, so $10.0~mi=10.0\times1609~m=16090~m$
$distance_{1}=distance_{2}=16090~m$.
$t_{1}=\frac{distance_{1}}{average~speed_{1}}=\frac{16090~m}{20.0m/s}=805~s$
$t_{2}=\frac{distance_{2}}{average~speed_{2}}=\frac{16090~m}{30.0m/s}=536~s$
$Total~time=t_{1}+t_{2}=805~s+536~s=1341~s$
$Total~distance=distance_{1}+distance_{2}=16090~m+16090~m=32180~m$
$Average~speed=\frac{Total~distance}{Total~time}=\frac{32180~m}{1341~s}=24.0~m/s$
