SOLUTION: how do I figure this out?
Science and medicine. Ariana took 2 h longer to drive 360 mi on the first day of
a trip than she took to drive 270 mi on the second day. If her speed
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Question 76755: how do I figure this out?
Science and medicine. Ariana took 2 h longer to drive 360 mi on the first day of
a trip than she took to drive 270 mi on the second day. If her speed was the same on both days, what was the driving time each day?
Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
DISTANCE=RATE*TIME
360=R(X+2)
270=R*X
R=270/X NOW SUBSTITUTE (270/X) FOR R IN THE OTHER EQUATION & SOLVE FOR X
360=(270/X)(X+2)
360=(270X+540)/X CROSS MULTIPLY
360X=270X+540
360X-270X=540
90X=540
X=540/90
X=6 HOURS IS THE TIME FOR THE SECOND DAY.
THUS THE FIRST DAYS TIME WAS 6+2=8 HOURS.
PROOF
8R=360
R=360/8
R=45 MPH.
270=R*6
R=270/6
R=45 MPH.
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