SOLUTION: Elly and sam are jogging. Elly runs from point a to point b in one hour at 2MPH faster than sam if sam takes 1/2 hour more time than elly to go the same distance, find the distance

Question 794599: Elly and sam are jogging. Elly runs from point a to point b in one hour at 2MPH faster than sam if sam takes 1/2 hour more time than elly to go the same distance, find the distance between point a and b.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Elly and sam are jogging. Elly runs from point a to point b in one hour at 2MPH faster than sam if sam takes 1/2 hour more time than elly to go the same distance, find the distance between point a and b.
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Elly DATA:
time = 1 hr ; rate x+2 mph ; distance = x+2 miles
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Sam DATA:
time = 3/2 hr ; rate = x mph ; distance = (3/2)x miles
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Equation:
distance = distance
x+2 = (3/2)x)
(1/2)x = 2
x = 4 mph
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Ans: distance = (3/2)x = (3/2)4 = 6 miles
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Cheers,
Stan H.
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