Question

Working alone, it takes Kristen 10.2 hours to harvest a field. Kayla can harvest the same field in 16.5 hours. Find how long it would take them if they worked together.

Answer 1

13.35 hours

Step-by-step explanation:

Given:

Time Kristen takes to harvest = 10.2 hours

Time Kayla takes to harvest = 16. 5 hours

Let X represent the time it would take them to work together.

Here, to find the time it would take them if they worked together, let's find their mean time, using the formula below:

`X\text{ = }\frac{Time\text{ taken by kristen + Time taken by Kayla}}{2}`

`\begin{gathered} X\text{ = }\frac{10.2\text{ + 16.5}}{2} \\ \\ X\text{ = }(26.7)/(2) \\ \\ X\text{ = }13.35\text{ hours} \end{gathered}`

It would take them 13.35 hours if they worked together.