SOLUTION: Maria drove to her grandmother’s house at an average speed of 60 miles per hour. On the way home, she averaged only 45 miles per hour due to traffic. If she spent a total of 3 1/2

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Question 329399: Maria drove to her grandmother’s house at an average speed of 60 miles per hour. On the way home, she averaged only 45 miles per hour due to traffic. If she spent a total of 3 1/2 hours driving, how many miles is the trip to her grandmother’s house?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
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.
.
60%2AT1=D
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45%2AT2=D
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60T1=45T2
4T1=3T2
1.T1=%283%2F4%29T2
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2.T1%2BT2=3.5
Subsitute eq. 1 into eq. 2,
%283%2F4%29T2%2BT2=3.5
%287%2F4%29T2=3.5
T2=3.5%284%2F3%29
Then from above,
D=45%2AT2
D=45%284%2F3%29%283.5%29
highlight%28D=210%29miles