Question 1179997
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Informally....<br>
Since Aaron works twice as fast as Michael, Michael is like one-half of Aaron.
When they work together, that is like having 1 1/2 Aarons, or 3/2 Aarons.
When there are 3/2 as many workers, the job takes 2/3 as long.<br>
ANSWER: 2/3 of 1 hour<br>
The same thing, with formal algebra....<br>
Aaron can do the whole job in 1 hour --> 1/1 = fraction of job Aaron does in 1 hour
Aaron works twice as fast as Michael --> 1/2 = fraction of job Michael does in 1 hour
1/1 + 1/2 = 2/2 + 1/2 = 3/2 = fraction of job the two together can do in 1 hour
The number of hours required for the two of them to do the job together is {{{1/(3/2) = 2/3}}}<br>