SOLUTION: By​ himself, a person can mow his lawn in 60 minutes. If his daughter​ helps, they can mow the lawn together in 45 minutes. How long would it take his daughter to mow t

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: By​ himself, a person can mow his lawn in 60 minutes. If his daughter​ helps, they can mow the lawn together in 45 minutes. How long would it take his daughter to mow t      Log On

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Question 1030629: By​ himself, a person can mow his lawn in 60 minutes. If his daughter​ helps, they can mow the lawn together in 45 minutes. How long would it take his daughter to mow the lawn by​ herself?
Found 2 solutions by fractalier, Boreal:
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
The normal setup for work problems like this is:
t%2FA+%2B+t%2FB+=+1 as in 1 task, 1 lawn, 1 job...
The A and B are the times each person takes alone, the t is how long they work together...thus, plugging in the facts from the problem gives us
45%2F60+%2B+45%2FB+=+1 or
3%2F4+%2B+45%2FB+=+1
45%2FB+=+1%2F4
and
B = 180 minutes

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
how much each does in 1 minute
1/60 for a person
1/x for daughter
((45/60)+(45/x)) =1
multiply everything by common denominator 60x
45x+2700=60x
15x=2700
x=180 minutes