Q:

Rachel can finish the job in 5 hours, while Carl can finish the same job in 8 hours. How long will it take them to finish the job together? It is not 3.333 hours

Accepted Solution

A:
They both will finish the work in 3.07 hoursStep-by-step explanation:Time taken by Rachel = 5 hoursWork done by Rachel in one hour = 1/5 Time taken by Carl = 8 hoursWork done by Carl in one hour = 1/8Let x hours be the time taken by both to do workThen 1/x will be the work done by both in one hourSo,[tex]\frac{1}{5} + \frac{1}{8} = \frac{1}{x}[/tex]Taking LCM[tex]\frac{8+5}{40} = \frac{1}{x}\\\frac{13}{40} = \frac{1}{x}\\13x = 40\\x = \frac{40}{13}\\x = 3.07\ hours[/tex]They both will finish the work in 3.07 hoursKeywords: Linear EquationLearn more about linear equations at:brainly.com/question/11007026brainly.com/question/11207748#LearnwithBrainly