Problema Solution

Jack can mow the lawn in 4 hours. Jill can mow the same lawn in 3 hours. How much time would it take for them to mow the lawn together?

Answer provided by our tutors

RateJack = 1mow/4hr = 0.25 mow/hr

RateJill = 1mow/3hr = 0.33 mow/hr

Qty = Rate * Time = (RateJack + RateJill) * Time

Time = Qty/Rate

Time = 1mow/ (RateJack + RateJill) = 1mow/ (1mow/4hr + 1mow/3hr)

Time = 1/(1/4 + 1/3) = 1/(0.25 + 0.33) = 1/(0.58mow/hr) = 1.72hr