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Time and Work - General Aptitude

Q1:

4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

A 35

B 40

C 45

D 50

ANS:B - 40

Let 1 man's 1 day's work = x and 1 woman's 1 day's work = y.

Then, 4x + 6y = 1 and 3x + 7y = 1 .
8 10
Solving the two equations, we get: x = 11 , y = 1
400 400
 1 woman's 1 day's work = 1 .
400
 10 women's 1 day's work = 1 x 10 = 1 .
400 40
Hence, 10 women will complete the work in 40 days.