SOLUTION: Five friends drove at an average rate of 55 miles per hour to a weekend retreat. On the way home, they took the same route but averaged 75 miles per hour. What was the distance bet

Question 500382: Five friends drove at an average rate of 55 miles per hour to a weekend retreat. On the way home, they took the same route but averaged 75 miles per hour. What was the distance between home and the retreat if the round trip took 10 hours?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Five friends drove at an average rate of 55 miles per hour to a weekend retreat.
On the way home, they took the same route but averaged 75 miles per hour.
What was the distance between home and the retreat if the round trip took 10 hours?
:
Let d = one-way distance
:
Write a time equation, time = dist/speed
:
+ = 10
multiply by 825 to clear the denominator
825* + 825* = 825*10
Cancel the denominators and you have
15d + 11d = 8250
26d = 8250
d =
d = 317.3 miles one way
:
:
Check that by finding the actual times
317.3/55 = 5.77 hrs
317.3/75 = 4.23 hrs
--------------------
total time: 10 hrs

RELATED QUESTIONS
Five friends drove at an average rate of 55 miles per hour to a weekend retreat. On the... (answered by stanbon)

five friends drove at an average rate of 50 miles per hour to a weekend retreat. On the... (answered by stanbon,rapaljer,solver91311)

Five friends drove at an average rate of 50 miles per hour to a weekend retreat. On the... (answered by richwmiller)

Five friends drove at an average rate of 50 miles per hour to a weekend retreat. On the... (answered by ewatrrr)

five friends drove at an average rate of 60 miles per hour to a weekend retreat. on the... (answered by lwsshak3)

Five friends drove at an average rate of 50 miles per hour to a weekend retreat. On the... (answered by jim_thompson5910)

on a road trip, five friends drove at 50 miles per hour to California. On the way home... (answered by ptaylor)

On a road trip, five friends drove at 50 miles per hour to California. On the way home,... (answered by stanbon)

You and your roommate decided to take a road trip to the beach one weekend. You drove all (answered by ikleyn,josgarithmetic,greenestamps)