SOLUTION: Please help me. A jogger and a walker cover the same distance. The jogger finishes in 40 minutes. THe walker takes an hour. How fast is each exerciser moving if the jogger ru

Algebra ->  Probability-and-statistics -> SOLUTION: Please help me. A jogger and a walker cover the same distance. The jogger finishes in 40 minutes. THe walker takes an hour. How fast is each exerciser moving if the jogger ru      Log On


   



Question 223214: Please help me.
A jogger and a walker cover the same distance. The jogger finishes in 40 minutes. THe walker takes an hour. How fast is each exerciser moving if the jogger runs 2mph faster than the walker?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A jogger and a walker cover the same distance. The jogger finishes in 40 minutes. THe walker takes an hour. How fast is each exerciser moving if the jogger runs 2mph faster than the walker?
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Walker DATA:
rate = x mph ; time = 1 hr. ; distance = rt = x miles
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Jogger DATA:
rate = x+2 mph ; time = (2/3) hr. ; distance = (2/3)(x+2) miles
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Equation:
distance = distance
x = (2/3)(x+2)
3x = 2x+4
x = 4 mph (Walker's rate)
x+2 = 6 mph (Jogger's rate)
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Cheers,
Stan H.