A) 5/2
B) 3
C) 14/5
D) 6
Correct Answer: B
Solution :
One day work of Ps and Q?s \[=\frac{1}{2}\] ...(i) One day work of Q's and R?s \[=\frac{1}{4}\] ... (ii) One day work of P's and R?s \[=\frac{5}{12}\] ?(iii) On adding Eqs. (i), (u) and (iii), we get \[2(P+Q+R)=\frac{1}{2}+\frac{1}{4}+\frac{5}{12}\] \[\Rightarrow \] \[2(P+Q+R)=\frac{14}{12}\] \[\Rightarrow \] \[P+Q+R=\frac{7}{12}\] On subtracting Eq. (ii) from Eq. (iv), we get \[P=\frac{7}{12}-\frac{1}{4}\] \[\Rightarrow \] \[P=\frac{1}{3}\] Hence, P's can do alone in 3 days.You need to login to perform this action.
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