SOLUTION: The Morena family drove to Yosemite National park in 3 hours 24 minutes.On the way home ,they averaged 5 miles per hour less and the trip took 3 hours 42 minutes. How far from Yose

Question 390159: The Morena family drove to Yosemite National park in 3 hours 24 minutes.On the way home ,they averaged 5 miles per hour less and the trip took 3 hours 42 minutes. How far from Yosemite National park do they live?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The Morena family drove to Yosemite National park in 3 hours 24 minutes.
On the way home, they averaged 5 miles per hour less and the trip took 3 hours 42 minutes.
How far from Yosemite National park do they live?
:
Convert 3 hr 24 min to 3.4 hrs
Convert 3 hr 42 min to 3.7 hrs
:
Find the speed first
:
Let s = return speed
then
(s+5) = to park speed
:
Write a dist equation, dist = speed * time
:
back dist = out dist
3.7s = 3.4(s+5)
3.7s = 3.4s + 17
3.7s - 3.4s = 17
.3s = 17
s =
s = 56.67 mph back from the park
and
61.67 mph to the park
:
Find the dist
3.7 * 56.67 = 209.67 mi dist to the park
Confirm the dist
3.4 * 61.67 = 209.67 mi
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