The correct answer would be x=2.67 hours.
Explanation:
Shelly can paint a fence in 8 hours
Karen can paint a fence in 4 hours
Total time by Shelly and Karen to paint a fence = x
The time they will require to paint a fence if they work together is as follows:
1/8 + 1/4 = 1/x
(1*x)/8x + (1*2x)/(4*2x) = (1*8)/(x*8)
x/8x + 2x/8x = 8/8x
LCD 8x
x + 2x = 8
3x=8
x=2.67 hours.
So the total time taken by Shelly and Karen to paint a fence together would be 2.67 hours.
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