To do a certain work, the ratio of the efficiencies of X and Y is 5 : 4. Working together, they can complete the same work in 10 days. Y alone starts the work and leaves after 5 days. The remaining work will be completed by X alone in:
A. 14 days
B. 12 days
C. 15 days
D. 10 days
Answer: Option A
Solution(By Examveda Team)
\[\begin{array}{*{20}{c}} {}&{\text{X}}&{}&{\text{Y}} \\ {{\text{Efficiency}}}&5&:&4 \end{array}\]Total work = (5 + 4) × 10 = 90
Y × 5 + X × a = 90
4 × 5 + 5 × a = 90
20 + 5a = 90
5a = 70
a = 14
This Question Belongs to Arithmetic Ability >> Time And Work
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