SOLUTION: Jennifer drove 882 miles from her home to a town where her aunt lives. Her speed was 72 mph except on a part of the highway under construction, where her speed was 54 mph. If her t

Question 32307: Jennifer drove 882 miles from her home to a town where her aunt lives. Her speed was 72 mph except on a part of the highway under construction, where her speed was 54 mph. If her total driving time was 14 hours, how many miles did she drive at the slower speed? Your answer is expected to be an integer. Put your answer in the answer box. Put the unit mi after your answer.

Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
882 MILES = 72MPH TIMES X HOURS + 54 MILES TIMES (14-X) HOURS OR
882=72X+54(14-X) OR 882=72X+756-54X OR 882-756=72X-54X OR 126=16X
OR X=7 HOURS AT 72 MPH AND THE REMAINING 7 HOURS AT 54 MPH
PROOF 882=72*7+54*7 OR 882=504+378 OR 882=882
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