Myra Can Weed A Garden In 3 Hours . Ana Can Do It In 4 Hours . How Long Will…

Myra can weed a garden in 3 hours . Ana can do it in 4 hours . how long will it take them to weed the garden if they work together?

Let x be the time they work together.

[tex] \frac{1}{3} + \frac{1}{4} = \frac{1}{x} \\ \frac{4}{12} + \frac{3}{12} = \frac{1}{x} \\ \frac{7}{12} = \frac{1}{x} \\ 7x = 12 \\ \frac{7x}{7} = \frac{12}{7} \\ x = 1.71[/tex]
The answer is 1.71 hour or 1 hour and 43 minutes.