SOLUTION: Stan and Hilda can mow the lawn in 40 min if they work together. If Hilda works twice as fast as Stan, how long would it take Stan to mow the lawn alone?

Question 354447: Stan and Hilda can mow the lawn in 40 min if they work together. If Hilda works twice as fast as Stan, how long would it take Stan to mow the lawn alone?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Stan and Hilda can mow the lawn in 40 min if they work together. If Hilda works twice as fast as Stan, how long would it take Stan to mow the lawn alone?
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Together rate = 1/40 job/min
Hilda time = x: Hilda rate = 1/x job/min
Stan time = 2x; Stan rate = 1/(2x) job/min
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Equation:
rate + rate = together rate
1/x + 1/2x = 1/40
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Multiply thru by 40x to get:
40 +20 = x
x = 60 minutes
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Stan time = 2x = 2 hrs
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Cheers,
Stan H.

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