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.)

Respuesta :

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

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

[tex]\frac{1}{2}[/tex]

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,

[tex]\begin{gathered} For\text{ 1 hour = }\frac{1}{6}+\frac{1}{2} \\ For\text{ 1 hour = }\frac{1}{6}_+\frac{3}{6} \\ For\text{ 1 hour = }\frac{4}{6}\text{ = }\frac{2}{3} \end{gathered}[/tex]

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

[tex]\frac{3}{2}\text{ hours or 1.5 hours}[/tex]

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