SOLUTION: Rosie and Jack both drive the same distance to the shore. By driving 20 miles per hour faster than Jack, Rosie can get there in 3 hours while it takes Jack 4 hours. How fast does e

Question 563260: Rosie and Jack both drive the same distance to the shore. By driving 20 miles per hour faster than Jack, Rosie can get there in 3 hours while it takes Jack 4 hours. How fast does each of them drive?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Jack's speed in mi/hr
Let = distance to shore in miles
------------
given:
Rosie's equation:
(1)
Jack's equation:
(2)
-------------
Substitute (2) into (1)
(1)
(1)
(1)
and

Rosie's speed is 80 mi/hr
Jack's speed is 60 mi/hr
check answer:
(1)
(1)
(1)
and
(2)
(2)
(2)
OK
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