1. One man, 3 women and 4 boys can do a piece of work in 96 hours, 2 men and 8 boys can do it in 80 hours, 2 men and 3 women can do it in 120 hours. 5 men and 12 boys can do it in
Write Comment
Comments
By: anil on 05 May 2019 01.55 am
$$1M+3W+4B$$ = $$frac{1}{96}$$-------(1) $$2M+8B=frac{1}{80}$$-------(2) $$2M+3W=frac{1}{120}$$-------(3) on solving (1) and (2) (1)x2 - (2) $$
ightarrow2M+6W+8B-2M-8B=frac{2}{96}-frac{1}{80}$$ $$
ightarrow6W=frac{1}{120}$$ $$
ightarrow$$ $$W=frac{1}{720}$$ on substituting $$W=frac{1}{720}$$ in (3) we will get $$M=frac{1}{480}$$ on substituting both in (1), we will get $$B=frac{1}{960}$$ now, $$5M+12B=frac{5}{480}+frac{12}{960}=frac{22}{960}=frac{11}{480}$$ so no.of hours = $$frac{480}{11}=43frac{7}{11}$$ hours. so the answer is option C.
Terms And Service:We do not guarantee the accuracy of available data ..We Provide Information On Public Data.. Please consult an expert before using this data for commercial or personal use