SOLUTION: according to a recent study, working wives spend 26 hours a week on housework while husbands spend 36 minutes. at this rate, how long does a husband spend on housework for each 6.

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Question 604809: according to a recent study, working wives spend 26 hours a week on housework while husbands spend 36 minutes. at this rate, how long does a husband spend on housework for each 6.5 hours spent by a wife?
Answer by alicealc(293) About Me  (Show Source):
You can put this solution on YOUR website!
if number of housework = x then
working wives speed = x/26 works/hours
husbands speed = x/36 works/minutes = x/(36/60) = x/(3/5) = 5x/3 works/hours

if a wife spent 6.5 hours, then number of works = x/26 * 6.5 = 6.5x/26 = 0.25x
and the husband will spend
%280.25x%29%2F%285x%2F3%29
=0.25x%2A3%2F%285x%29
=0.75x/5x = 0.15 hours = 0.15 * 60 = 9 minutes

or, it can be solved simply with direct proportion: (let husband's time = t)
26 hours/6.5 hours = 36 minutes/t
4 = 36 minutes/t
4t = 36 minutes
t = 36/4 = 9 minutes