Answer:
It takes the second worker 11 hours to do the job alone
Step-by-step explanation:
The problem tells you how to work it.
[tex]\dfrac{1}{11}+\dfrac{1}{x}=\dfrac{2}{11}\\\\x+11=2x \qquad\text{multiply by 11x}\\\\11=x \qquad\text{subtract x}[/tex]
x = 11 tells you the second worker takes 11 hours to do the job alone.
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You can also work directly with the fractions. Subtract 1/11 and you have ...
1/x = 1/11
It should not be a real stretch to see that x=11. If you need, you can multiply both sides by 11x to get 11=x.
