Solve the problem.
-Five friends drove at an average rate of 60 miles per hour to a weekend retreat. On the way home, they took the same route but averaged 65 miles per hour. What was the distance between home and the retreat if the round
Trip took 10 hours?
A)624 miles
B)312 miles
C)7800 miles
D) $5 \frac { 1 } { 5 } \text { miles }$

Question

Quizplus · Accepted Answer

The total distance for the round trip is the sum of the distance going to the retreat and coming back. Let $d$ be the one-way distance. The time to go to the retreat is $d/60$ hours, and the time to come back is $d/65$ hours. The total time for the round trip is $d/60 + d/65 = 10$ hours. To find $d$, solve the equation: $\frac{d}{60} + \frac{d}{65} = 10$. Finding a common denominator (3900) and solving for $d$ gives $d = 312$ miles.

Solve the Problem 515 miles 5 \frac { 1 } { 5 } \text { miles }551​ miles

Solve the Problem $5 \frac { 1 } { 5 } \text { miles }$