Latest MBA Aptitude Question SOLUTION: 4 men and 3 women finish a job in 6 days, and 5 men and 7 women can do the same job in 4 days. How long will 1 man and 1 woman take to do the work?

1) 22(2/7) days

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(#M40015648) MBA Numerical Ability question time speed and distance, work, alligations & mixtures Keep an EYE

4 men and 3 women finish a job in 6 days, and 5 men and 7 women can do the same job in 4 days. How long will 1 man and 1 woman take to do the work?

1) 22(2/7) days
2) 25(1/2) days
3) 5(1/7) days
4) 12(7/22) days

Asked In MBA (11 years ago)

Unsolved Read Solution (2)

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Read Solution (2) :

tanmay nemawarkar  (9 years ago)

M1D1=M2D2

(4M+3W)6=(5M+7W)4
24M+18W = 20M + 28W
4M=10W
2M=5W
ratio of M:W = 5:2
To find work put 5:2 in one of the side of equation
WD= (4*5+3*2)6 = 156
for 1W & 1M
Time = WD/there capacity
=156/(5+2)
= 156/7
= 22(2/7) =(a)

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ROHIT KHURAD  (1 year ago)

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

Hence, 4x + 3y = 1/6 ……i

and 5x + 7y = 1/4 ………ii

By solving i & ii we get y = 1/78 and x = 5/156.

Now x + y = 5/156 + 1/78 = 7/156

So 1 man's and I woman's 1 day work= 7/156 part. So they will finish the whole work = 1÷ 7/156 = 1*156/7 = 22 2/7 days.

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