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4 men and 6 women finish a job in 8 days...

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

A

50

B

45

C

40

D

35

Text Solution

Verified by Experts

The correct Answer is:
C

प्रश्न से
`(4M + 6W ) xx 8 = ( 3M + 7W) xx 10`
`rArr 32M + 48W = 30 M + 70W`
`rArr 2M = 22W`
`therefore 1M = 11W`
अब,
`4 M + 6W = 4 xx 1 + 6 = 50 W`
`(M_1 D_1)/( W_1) = (M_2 D_2)/( W_2)`
`rArr 50 xx 8 = 10 xx D_2`
`therefore D_2 = 5 xx 8 = 40` दिन
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