They both will finish the work in 3.07 hours
Step-by-step explanation:
Time taken by Rachel = 5 hours
Work done by Rachel in one hour = 1/5
Time taken by Carl = 8 hours
Work done by Carl in one hour = 1/8
Let x hours be the time taken by both to do work
Then 1/x will be the work done by both in one hour
So,
[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 hours
Keywords: Linear Equation
Learn more about linear equations at:
- brainly.com/question/11007026
- brainly.com/question/11207748
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