Mathematics: PLEASE ANSWER QUICK I NEED TO FINISH IN 50 MINUTES FOR MY TEST James and Willis are both painting a room. James could complete it in 6 hours by himself. Together they can complete the room in 2 hours. How long would it take Willis to paint the room by himself?

PLEASE ANSWER QUICK I NEED TO FINISH IN 50 MINUTES

Ответ:

AriqRidwan6838

13.02.2022

Mathematics

Willis will take 3 hours to paint the room by himself.

Step-by-step explanation:

Given: Time taken by James to complete job by himself = 6 hours

Let Time taken by Willis to complete job by himself = t hours

Together they take 2 hours.

$\dfrac{1}{6}+\dfrac{1}{t}=\dfrac{1}{2}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{2}-\dfrac{1}{6}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3-1}{6}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{2}{6}\\\\\Rightarrow\ t=\dfrac{6}{2}\\\\\Rightarrow\ t=3$

So, Willis will take 3 hours to paint the room by himself.

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PLEASE ANSWER QUICK I NEED TO FINISH IN 50 MINUTES FOR MY TEST James and Willis are both painting a room. James could complete it in 6 hours by himself. Together they can complete the room in 2 hours. How long would it take Willis to paint the room by himself?

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