Answer:
[tex]529\text{ hours}[/tex]
Step-by-step explanation:
GIVEN: Lisa, an experienced shipping clerk, can fill a certain order in [tex]1010[/tex] hours.Bill, a new clerk, needs [tex]1111[/tex] hours to do the same job.
TO FIND: Working together, how long will it take them to fill the order.
SOLUTION:
Total hours taken by Lisa [tex]=1010[/tex] hours
Total hours taken by Bill [tex]=1111[/tex] hours
Let the total time taken when working together be [tex]x[/tex] hours
Now,
Total time taken by Lisa and Bill when working together
[tex]\frac{1}{1010}+\frac{1}{1111}=\frac{1}{x}[/tex]
[tex]\frac{1}{x}=\frac{21}{101\times110}[/tex]
[tex]x\approx529[/tex] hours
Hence Lisa and Bill will take [tex]529[/tex] hours to fill the order when working together.
