SOLUTION: Two cyclists , Elisa May and Dhey-dhey, start at the same time from opposite ends of a course that is 45 miles long. Elisa May is riding at 14mph and Dhey-dhey at 16mph. How long a

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Question 903592: Two cyclists , Elisa May and Dhey-dhey, start at the same time from opposite ends of a course that is 45 miles long. Elisa May is riding at 14mph and Dhey-dhey at 16mph. How long after they begin will they meet?
Found 2 solutions by rfer, stanbon:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
coming together at 30 mph
45/30=1.5 hrs

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Two cyclists , Elisa May and Dhey-dhey, start at the same time from opposite ends of a course that is 45 miles long. Elisa May is riding at 14mph and Dhey-dhey at 16mph. How long after they begin will they meet?
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EM DATA:
rate = 14 mph ; distance = x miles ; time = d/r = x/14 hrs
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DD DATA:
rate = 16 mph ; distance = 45-x miles ; time = d/r = (45-x)/16
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Equation:
time = time
x/14 = (45-x)/16
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16x = 14*45-14x
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30x = 14*45
x = (3/2)14
x = 21 miles
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Ans:: time = x/14 = 21/14 = 3/2 = 1.5 hours
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Cheers,
Stan H.
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