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takes Kim 11 hours to proof a chapter of Hawkes Learning SystemsIntroductory Algebra book and it takes Bethany 6 hours. How long would it take them working together? (Round your answer to two decimal places)

Sagot :

Answer

3.88 hours

Explanation:

If it takes Kim 11 hours to proof a chapter of Hawkes Learning Systems Introductory Algebra book, this shows that she will prove 1/11 of the chapter in 1 hour.

Similarly, if it took Bethany 6hrs to proof the same chapter, she will prove 1/6 of the chapter in 1hour

If x is the time take to read a chapter if the work together, the time it will take them working together is given as

[tex]\begin{gathered} \frac{1}{x}=\frac{1}{11}+\frac{1}{6} \\ \frac{1}{x}=\frac{6+11}{66} \\ \frac{1}{x}=\frac{17}{66} \end{gathered}[/tex]

Cross multiply

[tex]\begin{gathered} 17x=66\times1 \\ 17x=66 \\ x=\frac{66}{17}=3\frac{15}{17}=3.88hours \end{gathered}[/tex]

Hence the time it will take them to work together is 3.88 hours