SOLUTION: A cheetah is running at 65 mph an a gazelle is running at 47 mph. The cheetah is one mile behind the gazelle. Write an expression for the distance the cheetah must run to catch up

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Question 778769: A cheetah is running at 65 mph an a gazelle is running at 47 mph. The cheetah is one mile behind the gazelle. Write an expression for the distance the cheetah must run to catch up with the gazelle
Answer by stanbon(75887) About Me  (Show Source):
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A cheetah is running at 65 mph an a gazelle is running at 47 mph. The cheetah is one mile behind the gazelle. Write an expression for the distance the cheetah must run to catch up with the gazelle
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Gazelle DATA:
distance = x miles ; rate = 47 mph ; time = d/r = x/47 hrs.
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Cheetah DATA:
distance = x+1 mile ; rate = 65 mph ; time = d/r = (x+1)/65 hrs.
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Equation:
time = time
x/47 = (x+1)/65
65x = 47x + 47
8x = 47
x = 5.875 miles
Cheetah distance = x+1 = 6.875 miles
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Cheers,
Stan H.
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