SOLUTION: It takes Nancy 45 min to rake the yard and it takes Johnny 30 min. How long would it take if they work together?

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Question 294538: It takes Nancy 45 min to rake the yard and it takes Johnny 30 min. How long would it take if they work together?
Found 3 solutions by helpnalgebra, richwmiller, Alan3354:
Answer by helpnalgebra(91)   (Show Source):
You can put this solution on YOUR website!
15 mins
oh im so sorry i posted the wrong answer

Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website!
x/45+x/30=1
2x+3x=90
5x=90
x=90/5=45*2/5=18

Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website!
It takes Nancy 45 min to rake the yard and it takes Johnny 30 min. How long would it take if they work together?
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Nancy does 1/45 of the yard per minute.
Johnny does 1/30 per minute.
Together, 1/30 + 1/45 = 75/1350 = 1/18 of the yard/minute
--> 18 minutes/yard
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Use the shortcut, product/sum
45*30/(45+30) = 1350/75 = 18 minutes