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15. You and your friend have been hired to paint a room. It takes you 4 hours working alone
to do the job. It takes your friend 5 hours working alone to do the job. How long will it
take both of you, working together, to paint the room?​

Sagot :

Jinjinjjaraviz

Answer:

2.22 Hours

Step-by-step explanation:

[tex] \\ \tt{} \frac{x}{4} + \frac{x}{5} = 1[/tex]

LCD is 20. Multiply all the terms by the LCD.

[tex]\\ \tt{}20 \bigg ( \frac{x}{4} + \frac{x}{5} = 1 \bigg)[/tex]

[tex]\\ \tt{} \frac{20x}{4} + \frac{20x}{5} = 20[/tex]

[tex]\\ \tt{}5x + 4x = 20[/tex]

[tex]\\ \tt{}9x = 20[/tex]

[tex]\\ \tt{}x = \frac{20}{9} [/tex]

[tex]\\ \boxed{\huge \boxed{ \tt{}x = 2.22}} \\ \\ \\ \\ [/tex]

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