SOLUTION: It takes Erica, traveling at 24 mph, 50 minutes longer to go a certain distance than it takes Ricky traveling at 54 mph. Find the distance traveled.

Question 994764: It takes Erica, traveling at
24 mph,
50 minutes longer to go a certain distance than it takes Ricky traveling at
54 mph. Find the distance traveled.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
It takes Erica, traveling at 24 mph, 50 minutes longer to go a certain distance han it takes Ricky traveling at 54 mph. Find the distance traveled.
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Erica DATA::
rate = 24 mph ; distance = x miles ; time = x/24 hrs
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Ricky DATA:
rate = 54 mph ; distance = x miles ; time = x/54 hrs
---------------------------
Equation:
Erica time - Ricky time = (5/6) hr.
----
x/24 - x/54 = 5/6
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Multiply thru by 6 to get:
x/4 - x/9 = 5
-----
9x - 4x = 5*4*9
----
5x = 5*4*9
x = 36 miles
----
Cheers,
Stan H.
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