SOLUTION: To travel 60 miles, it takes Sue, riding a moped, 2 hours8 less time than it takes Doreen to travel 50 miles riding a bicycle. Sue travels 10 miles per hour faster than Doreen.

Question 1031959: To travel 60 miles, it takes Sue, riding a moped, 2 hours8
less time than it takes Doreen to travel 50 miles riding a
bicycle. Sue travels 10 miles per hour faster than Doreen.
Find the times and rates of both girls.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Doreen's speed in mi/hr
= Sue's speed in mi/hr
Let = Doreen's time in hrs to travel 50 mi
riding bicycle
= Sue's time in hrs to travel 60 mi
------------------------
Equation for Doreen:
(1)
Equation for Sue:
(2)
---------------------------
(1)
Plug this into (2)
(2)
(2)
(2)
(2)
(2)
(2)
(2) ( by looking at it )
( time must be positive )
and

---------------
(1)
(1)
(1)
and

------------------
Doreen's speed = 10 mi/hr
Doreen's time = 5 hrs
Sue's speed = 20 mi/hr
Sue's time = 3 hrs
------------------------
check answers:
(1)
(1)
(1)
and
(2)
(2)
(2)
OK
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