1. 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 ?
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By: anil on 05 May 2019 01.20 am
Let the time taken to complete the work = $$x$$ days => $$(4 M + 3 W) imes 6 = (5 M + 7 W) imes 4$$ => $$24 M + 18 W = 20 M + 28 W$$ => $$4 M = 10 W$$ ---------------Eqn(1) Acc to ques, => $$(4 M + 3 W) imes 6 = (1 M + 1 W) imes x$$ Using eqn(1), we get : => $$(10 + 3) imes 6 = (frac{10}{4} + 1) imes x$$ => $$78 = frac{7}{2} x$$ => $$x = frac{78 imes 2}{7} = frac{156}{7}$$ => $$x = 22frac{2}{7}$$ days
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