swerve wrote:It take 6 days for 3 women and 2 men working together to complete a work. 3 men would do the same work 5 days sooner than 9 women. How many times does the output of a man exceed that of a woman?
A. 3 times
B. 4 times
C. 5 times
D. 6 times
E. 7 times
We can PLUG IN THE ANSWERS.
When the correct answer is plugged in, 3 men will take 5 fewer days than 9 women to complete the job.
Since the time for 3 men is much less than the time for 9 women, the men must work MUCH FASTER than the women.
Thus, the correct answer is probably D or E.
D: 6 times
Let the rate for each woman = 1 widget per day, implying that the rate for each man = 6*1 = 6 widgets per day.
In 6 days, the amount of work produced by 3 women and 2 men = (combined rate for 3 women and 2 men)(number of days) = (3*1 + 2*6)(6) = 90 widgets.
Time for 9 women to produce 90 widgets = (work)/(rate for 9 women) = 90/(9*1) = 10 days.
Time for 3 men to produce 90 widgets = (work)/(rate for 3 men) = 90/(3*6) = 5 days.
Success!
The time for 3 men is 5 days less than the time for 9 women.
The correct answer is
D.
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