Time And Work Ques 27
Question-
A alone can do a work in 24 days. Time taken by A in completing 1 $\frac{1}{3}$ of work is equal to the time taken by $B$ in completing $\frac{1}{2}$ of the work. In what time A and B together will complete the work?
(1) 9 days
(2) 10 days
(3) 12 days
(4) $\frac{48}{5}$ days
(5) 8 days
(IBPS Bank PO/MT CWE-VII (Prelim Exam) 15.10.2017)
Show Answer
Correct Answer: (4)
Solution: (4)
Time taken by A in doing onethird work $=8$ days $\therefore$ Time taken by $A$ in doing 1 work $=24$ days
$\therefore$ Time taken by $B$ in doing 1 work $=16$ days
$\therefore(A+B)$ ’s 1 day’s work $=\frac{1}{24}+\frac{1}{16}$ $=\frac{2+3}{48}=\frac{5}{48}$
$\therefore$ Required time $=\frac{48}{5}$ days.
BETA
