SOLUTION: One factory takes four days to produce an airplane, another takes five, and a third takes seven days. How long does it take the three factories combined to produce eighty-three

Question 886219: One factory takes four days to produce an airplane, another takes five, and a
third takes seven days. How long does it take the three factories combined to
produce eighty-three airplanes?
Found 3 solutions by stanbon, Tanzina ahamed, MathTherapy:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
One factory takes four days to produce an airplane, another takes five, and a
third takes seven days. How long does it take the three factories combined to
produce eighty-three airplanes?
Let "x" be the number of days.
Rate for each factory::
1/4 plane per day
1/5 plane per day
1/3 plane per day
---------------------
Equation:
(1/4)x + (1/5)x + (1/3)x = 83
Multiply thru by 60 to get:
15x + 12x + 20x = 83*60
47x = 83*60
x = 105.96 days
Cheers,
Stan H.

Answer by Tanzina ahamed(5)   (Show Source): You can put this solution on YOUR website!
The above ans of Stan H is wrong.
Let x be the number of days.
Rate for each factory
1/4 plane per day
1/5 plane per day
1/7 plane per day
Therefore,
(1/4)x+(1/5)x+(1/7)x=83
multiply by 140 to get
35x+28x+20x=83*140
=>63x=11620
=>x=184.444 days
Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!

One factory takes four days to produce an airplane, another takes five, and a
third takes seven days. How long does it take the three factories combined to
produce eighty-three airplanes?

Time to make 83 planes: days
You can do the check!!
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