A) \[22\frac{1}{2}\]
B) 25
C) \[27\frac{1}{2}\]
D) 30
Correct Answer: A
Solution :
A is three times more efficient than B. It means if A takes x days to complete a work, B will take 3x days. \[\therefore \] \[3x-x=60\] \[\Rightarrow \] \[x=30\] Hence, A takes 30 days to finish the work and B takes 90 days. When they work together. \[\left( A+B \right)'s\] 1 days's work \[=\frac{1}{30}+\frac{1}{90}\] \[=\frac{3+1}{90}=\frac{9}{40}=\frac{2}{45}\] \[\therefore \] \[(A+B)\] Together can finish the work in \[\frac{45}{2}=22\frac{1}{2}\] daysYou need to login to perform this action.
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