Lisa, an experienced shipping clerk, can fill a certain order in 10 hours. Tom, a new clerk, needs 13 hours to do the The

same job. Working together, how long will it take them to fill the order?

(Sin

It takes 6 hours to complete the work for both Lisa and Tom working together.

Step-by-step explanation:

step 1:

Let us assume that,

Total work = 130 units (take a number that can be divisible by both 10 and 13)

step 2:

Lisa completes the work in 10 hours.

Lisa's work per hour = total work / time taken to complete the work

= 130 / 10 = 13 units per hour

step 3:

Tom completes the work in 13 hours.

Tom's work per hour = total work / time taken to complete the work

= 130 / 13 = 10 units per hour

step 4:

Both Lisa and Tom can work per hour = 13 units + 10 units

= 23 units per hour

step 5:

Working together can complete the total work in = total work / time taken to complete the work together

= 130 units / 23 units per hour = 5.65 (which is approximately 6 hours).

∴ Time taken by working together = 6 hours.