Question

My answer is 6. Please help me check. Sam hiked up a mountain at a rate of 2.5 mph and returned along the same trail at a rate of 3mph. His total hiking time was 11h. How long was the hiking trail?

Answer 1

\[t = \frac ds\]
\[11 = \frac{d}{2.5} + \frac{d}{3}\]
\[11 = \frac{6d}{15} + \frac{5d}{15}\]
\[11 = \frac{11d}{15}\]
\[161 = 11d\]
\[15 = d\]

Answer 2

Hold on. Don't mind the last few steps. It should be
165 = 11d
d = 15

Answer 3

Sorry for late reply. Where does 165 comes from?