Rohan and Mohit can build a wall in 8 , days, | vedclass

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(A) Let $R, M,$ and $V$ represent the work done per day by Rohan,Mohit,and Vikas respectively.Given:$R + M = \frac{1}{8}$ (work per day)$M + V = \frac

Vedclass · Accepted Answer

$\frac{240}{37}$

Vedclass · Answer

(A) Let $R, M,$ and $V$ represent the work done per day by Rohan,Mohit,and Vikas respectively.Given:$R + M = \frac{1}{8}$ (work per day)$M + V = \frac{1}{10}$ (work per day)$V + R = \frac{1}{12}$ (work per day)Adding these equations:$2(R + M + V) = \frac{1}{8} + \frac{1}{10} + \frac{1}{12}$$2(R + M + V) = \frac{15 + 12 + 10}{120} = \frac{37}{120}$$R + M + V = \frac{37}{240}$ (work per day by all three together)Therefore,the time taken by all three to complete the wall is the reciprocal of the work done per day:Time $= \frac{240}{37} \, days$.

Rohan and Mohit can build a wall in $8 \, days$,Mohit and Vikas can build the same wall in $10 \, days$,and Vikas and Rohan can build the same in $12 \, days$. In how many days can all three complete the same wall while working together?

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