Time And Work Ques 19
Question-
B is $\frac{4}{3}$ times as efficient as A. If A can complete $\frac{5}{8}$ th of a given task in 15 days, what fraction of the same task would remain incomplete if $B$ works on it independently for 10 days only?
(1) $\frac{3}{4}$
(2) $\frac{2}{3}$
(3) $\frac{5}{8}$
(4) $\frac{4}{9}$
(5) $\frac{2}{3}$
(IBPS RRBs Officer CWE (Pre.) 14.11.2016 (Shift-II))
Show Answer
Correct Answer: (4)
Solution: (4)
B is $\frac{4}{3}$ times as efficient as A.
$\because$ A completes $\frac{5}{8}$ th work in 15 days.
$\therefore$ Time taken by $A$ in doing 1 work $=\frac{15 \times 8}{5}=24$ days
$\therefore$ Time taken by $B$ in doing whole work $=24 \times \frac{3}{4}=18$ days
$\because$ B’s 1 day’s work $=\frac{1}{18}$
$\therefore$ B’s 10 days’ work $=\frac{10}{18}=\frac{5}{9}$
$\therefore$ Remaining work $=1-\frac{5}{9}=\frac{4}{9}$
BETA
