SOLUTION: Ben starts walking along a path at 2 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 4 mi/h. How long will it be before Amanda

Question 1015573: Ben starts walking along a path at 2 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 4 mi/h. How long will it be before Amanda catches up to Ben?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
What is Ben's head start in miles?

mi
------------------
Let = distance Amanda travels
until she catches up to Ben
Start a stop watch when Amanda leaves
Let = time on stopwatch when
she catches up with Ben
---------------------
Ben's equation
(1)
Amanda's equation:
(2)
----------------
Substitute (2) into (1)
(1)
(1)
(1)
She catches up to Ben in 1.5 hrs
--------------
check:
(2)
(2)
(2) mi
and
(1)
(1)
(1)
(1)
OK

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