Question

Cindy and Jim, working together, can weed the garden in 6
hours. Working alone, Jim takes twice as long as Cindy. How long does it take Cindy to weed the garden alone?

Answer 1

Let's say Cindy takes x hours to weed the garden alone. Then Jim takes 2x hours to weed the garden alone.

Working together, they can weed the garden in 6 hours, so their combined work rate is:

1/6 = (1/x) + (1/2x)

To solve for x, we can multiply both sides by 6x:

x = 3

Therefore, it takes Cindy 3 hours to weed the garden alone.