Question 487686
If Jan can weed the garden in 2 hours and her husband can weed it in 1 hour and 30 minutes, find how long it takes them to weed the garden together.
:
Let t = time required when weeding together
Let the completed job = 1 (a weed-free garden)
:
{{{t/2}}} + {{{t/1.5}}} = 1
we can clear the denominators by multiplying by 6, results:
3t + 4t = 6
7t = 6
t = {{{6/7}}} hrs working together, that's {{{6/7}}}*60 = 51.43 minutes