SOLUTION: The Jones familt drove to Disneyland at 50 miles per hour and returned on the same route at 30 miles per hour. Find the distance to Disneyland if the total driving time was 7.2 ho

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Question 52372This question is from textbook
: The Jones familt drove to Disneyland at 50 miles per hour and returned on the same route at 30 miles per hour. Find the distance to Disneyland if the total driving time was 7.2 hours.

What I have so far is
40+50/7.2
90/7.2 But that is not correct... I am stumped. pleae help thank you This question is from textbook

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
(distance)=(rate)(time) or d=rt
rate to Disnseyland:50
rate from Disneyland:30
time to Disneyland:t
time to Disneyland+time frome Disneyland=7.2 therefore time from Disneyland:7.2-t
Distance to Disneyland=50t
Distance from Disneyland=30(7.2-t)
These two distances are equal, therefore:
50t=30(7.2-t)
50t=216-30t
50t+30t=216-30t+30t
80t=216
80t/80=216/80
t=2.7 hrs
Plug this t into the distance equation going to Disneyland.
Distance to Disneyland=50(2.7)miles
Distance to Disneyland=135 miles
If you check the distance from Disneyland in the same way, you'll get the same answer.