1. If 12 men or 18 women can reap a field in 14 days, then working at the same rate, 8 men and 16 women can reap the same field in :
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By: anil on 05 May 2019 01.59 am
Work done by a man in 1 day = $$frac{1}{14 imes 12} = frac{1}{168}$$
Work done by 8 men in 1 day = $$frac{8}{168} = frac{1}{21}$$
Work done by a woman in 1 day = $$frac{1}{14 imes 18} = frac{1}{252}$$
Work done by 16 women in 1 day = $$frac{16}{252}$$
Work done by 8 men and 16 women in one day $$ = frac{1}{21} + frac{16}{252} $$
$$ = frac{12}{252} + frac{16}{252} = frac{28}{252} = frac{1}{9}$$
Hence it takes 9 days for them to complete the work.
Hence Option A is the correct answer.
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Work done by 8 men in 1 day = $$frac{8}{168} = frac{1}{21}$$
Work done by a woman in 1 day = $$frac{1}{14 imes 18} = frac{1}{252}$$
Work done by 16 women in 1 day = $$frac{16}{252}$$
Work done by 8 men and 16 women in one day $$ = frac{1}{21} + frac{16}{252} $$
$$ = frac{12}{252} + frac{16}{252} = frac{28}{252} = frac{1}{9}$$
Hence it takes 9 days for them to complete the work.
Hence Option A is the correct answer.