Problema Solution
Laura can weed the garden in 1 hour and 20 minutes and her husband can weed it in 1 hour and 30 minutes. How long will they take to weed the garden together?
Answer provided by our tutors
the rate of Laura is 1/(1 20/60) = 1/(1 1/3) = 1*3/4 = 3/4 gardens per hour
the rate of her husband is 1/(1 30/60) = 1/(1 1/2) = 1*2/3 = 2/3 gardens per hour
let t = the time the need to weed the garden together thus their together rate will be 1/t gardens per hour
3/4 + 2/3 = 1/t
by solving we find
t = 12/17 hr
t = 12*60/17 min = 42.35 min
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the will weed the garden togather is 42.35 minutes.