<PRE><B>Question 578788</B>
Suppose the route is d miles long. Using d = rt, we have t = d/r. We have to add two different times (going there, coming back) using this formula. Also, we want consistent units so use 1.6 hours instead of 1 hr 36 minutes.:


*[tex \LARGE \frac{d}{10} + \frac{d}{6} = 1.6] Use LCD of 30:


*[tex \LARGE \frac{3d}{30} + \frac{5d}{30} = 1.6]


*[tex \LARGE \frac{8d}{30} = 1.6]


*[tex \LARGE 8d = 48 \Rightarrow d = 6] (miles)</PRE>