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CBSE Class 10 Answered

X does half as much work as Y in one-sixth of the time. If to¬gether they take 10 days to com¬plete a work, how much time shall B alone take to do it ?
Asked by rushabhjain.av | 31 Jan, 2019, 09:42: AM
answered-by-expert Expert Answer
It is given that X does half as much work as Y in one-sixth of the time.
begin mathsize 16px style 1 over 6 cross times 1 over straight A equals 1 half cross times 1 over straight B
straight A over straight B equals 1 third end style
They together complete the work in 10 days.
begin mathsize 16px style 1 over straight A plus 1 over straight B equals 1 over 10
fraction numerator begin display style 1 end style over denominator begin display style straight A end style end fraction plus fraction numerator begin display style 1 end style over denominator begin display style 3 straight A end style end fraction equals fraction numerator begin display style 1 end style over denominator begin display style 10 end style end fraction
fraction numerator 4 over denominator 3 straight A end fraction equals fraction numerator begin display style 1 end style over denominator begin display style 10 end style end fraction
fraction numerator begin display style 1 end style over denominator begin display style straight A end style end fraction equals 3 over 40
straight A equals 40 over 3
straight B equals 3 cross times fraction numerator begin display style 40 end style over denominator begin display style 3 end style end fraction equals 40 days
end style
Answered by Sneha shidid | 31 Jan, 2019, 10:07: AM
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