SOLUTION: Lara rode her motorcycle 300 miles. If she had averaged 10 mph faster, the trip would have taken 1 hour less time. Find Lara's actual average speed

Question 888375: Lara rode her motorcycle 300 miles. If she had averaged 10 mph faster, the trip would have taken 1 hour less time. Find Lara's actual average speed
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = her actual average speed
Let = her actual time in hours
------------------------------------
(1)
(2)
-------------------------------
(2)
(2)
and
(1)
---------------------
(2)
(2)
(2)
(2)
Multiply both sides by
(2)
(2)
(2)
(2)
(2)
(2)
take the square root of both sides
(2)
(2)
and
(2)
(2) ( can't use negative time )
---------------------------------------
(1)
(1)
(1)
Lara's actual average speed was 50 mi/hr
check:
(2)
(2)
(2)
(2)
OK
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