Question

LisaLisa​, an experienced shipping​ clerk, can fill a certain order in 1010 hours. BillBill​, a new​ clerk, needs 1111 hours to do the same job. Working​ together, how long will it take them to fill the​ order?

Answer 1

Answer:

$529\text{ hours}$

Step-by-step explanation:

GIVEN: Lisa​, an experienced shipping​ clerk, can fill a certain order in $1010$ hours.Bill​, a new​ clerk, needs $1111$ 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 $=1010$ hours

Total hours taken by Bill $=1111$ hours

Let the total time taken when working together be $x$ hours

Now,

Total time taken by Lisa and Bill when working together

$\frac{1}{1010}+\frac{1}{1111}=\frac{1}{x}$

$\frac{1}{x}=\frac{21}{101\times110}$

$x\approx529$ hours

Hence Lisa and Bill will take $529$ hours to fill the order when working together.