John can finish a paper route in 6 hours, and Andrewcan finish the same paper route in 5 hours. If they work together,how long would it take them to finish the paper route?x = 2.2 hoursx = 2.31 hoursx=2.73 hoursx 3.48 hours

Respuesta :

Given:

John can finish a paper route in 6 hours and Andrew can finish the same paper route in 5 hours

Required:

We need to find that If they work together how long would it take them to finish the paper route

Explanation:

We have that

John can finish a paper route in 6 hours, then he completes 1/6 of paper in 1 hour

similarly

Andrew can finish the same paper route in 5 hours, then he completes 1/5 in 1 hour

Together they complete

[tex]\frac{1}{6}+\frac{1}{5}=\frac{11}{30}[/tex]

11/30 of paper in 1 hour

Therefore, together they need 30/11 hours to finish the paper

FInal answer:

[tex]\frac{30}{11}=2.73\text{ hours}[/tex]

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