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If 30 men working 7 hours a day can make...

If 30 men working 7 hours a day can make 12 tables in 18 days, how many days will 45 women working 9 hours a day take to make 32 chairs? Given, 4 men can make 3 tables in the same time as 3 women can make 4 chairs. a. 12 days b. 14 days C. 28 days d. 21 days

Text Solution

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`4` men can make `3` tables in the same time as `3` women can make `4` chairs.
It means `1` man makes `3/4` tables and `1` woman makes `4/3` tables.
Now, we can use the formula,
`(W_1)/(M_1H_1D_1) = (W_2)/(M_2H_2D_2) `
Putting the given values,
`=>12/(30xx(3/4)xx7xx18) = 32/(45xx(4/3)xx9xxD_2)`
`=>1/(15xx7xx9) = 2/(45xx3xxD_2)`
`=>D_2 = 2xx7 = 14`
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