Answer:
It would take them 1.33 Hours to finish the job together.
Step-by-step explanation:
[tex]\\ \tt{} \frac{x}{3} + \frac{x}{4} + \frac{x}{6} = 1[/tex]
LCD is 12. Multiply all the terms by the LCD.
[tex]\\ \tt{}12 \bigg( \frac{x}{3} + \frac{x}{4} + \frac{x}{6} = 1 \bigg)[/tex]
[tex]\\ \tt{} \frac{12x}{3} + \frac{12x}{4} + \frac{12x}{6} = 12[/tex]
[tex]\\ \tt{}4x + 3x + 2x = 12[/tex]
[tex]\\ \tt{} 9x = 12[/tex]
[tex]\\ \tt{}x = \frac{12}{9} [/tex]
[tex]\\ \boxed{\huge \boxed{ \tt{}x = 1.33 }} \\ \\ \\ \\ [/tex]
#CarryOnLearning
Stay safe and God bless you!
