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Aptitude · Q318

Time And Work

Competitive Exams · Aptitude · question 318

Q318

A is as efficient as B and C together. Working together A and B can complete a work in 36 days and C alone can complete it in 60 days. A and C work together for 10 days. B alone will complete the remaining work in:

A.
88 Days
B.
84 Days
C.
110 Days
Answer
D.
90 Days

Answer: Option C

Solution

Answer: Option C
Solution:
\begin{array}{*{20}{c}} {}&A&:&{B + C}&{}&{} \\ {{\text{Efficiency}} \to }&{{1_{ \times 4}}}&:&{{1_{ \times 4}}}& \Rightarrow &{{2_{ \times 4}}} \\ {}&{A + B}&:&C&{}&{} \\ {{\text{Days}} \to }&{36}&:&{60}&{}&{} \\ {{\text{Efficiency}} \to }&5&:&3& \Rightarrow &8 \\ {{\text{Efficiency}} \to }&A&:&B&:&C \\ {}&4&:&1&:&3 \end{array}