Time And Work Ques 29
Question-
Efficiency of $B$ is two times more than efficiency of A. Both started working alternatively, starting with B and completed the work in total 37 days. If $C$ alone can complete the same work in 50 days then find in how many days $A$ and $C$ together will complete the work?
(1) 24 days
(2) 30 days
(3) 36 days
(4) 48 days
(5) 18 days
(IBPS RRBs Officer CWE (Prelim Exam) 18.08.2018)
Show Answer
Correct Answer: (2)
Solution: (2)
According to the question,
Time taken by $B=x$ days
$\therefore$ Time taken by $A=3 x$ days
Work done in first two days $=\frac{1}{x}+\frac{1}{3 x}=\frac{3+1}{3 x}=\frac{4}{3 x}$
$\therefore$ Work done in 36 days $=\frac{18 \times 4}{3 x}=\frac{24}{x}$
$\therefore$ Work done in 37 days $=\frac{24}{x}+\frac{1}{x}=\frac{25}{x}$
$\therefore \frac{25}{x}=1 $
$\Rightarrow x=25$
$\therefore$ Time taken by $A=75$ days
$\therefore(A+C)$ ’s 1 day’s work $=\frac{1}{75}+\frac{1}{50}$ $=\frac{2+3}{150}=\frac{5}{150}=\frac{1}{30}$
$\therefore$ Required time $=30$ days
BETA
