Question

It takes Nina 6 hours to proof a chapter of Hawkes Learning Systems' College Algebra book and it takes Mandy 2 hours. How long would it take them working together? (Round your answer to two decimal places.)

Answer 1

Time taken by Nina to complete the chapter = was 6 hours.

Amount of chapter completed in 1 hour = 1/6.

`(1)/(2)`

Mandy takes the time to complete the chapter = 2 hours.

Amount of chapter completed in 1 hour = 1/2.

Amount of chapters completed by both in 1 hour is calculated as,

`\begin{gathered} For\text{ 1 hour = }(1)/(6)+(1)/(2) \\ For\text{ 1 hour = }(1)/(6)_+(3)/(6) \\ For\text{ 1 hour = }(4)/(6)\text{ = }(2)/(3) \end{gathered}`

Thus the amount of time taken by both of them to complete the chapter is

`(3)/(2)\text{ hours or 1.5 hours}`