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

`529\text{ hours}`

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

`(1)/(1010)+(1)/(1111)=(1)/(x)`

`(1)/(x)=(21)/(101*110)`

`x\approx529` hours

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