Time And Work Ques 1
Question-
$B$ is 1.5 times as efficient as $A$. If A can complete $\frac{6}{7}$ th of a given task in 12 days, what fraction of the same task would remain incomplete if $B$ works on it independently for 6 days only?
(1) $\frac{2}{5}$
(2) $\frac{3}{5}$
(3) $\frac{4}{10}$
(4) $\frac{5}{14}$
(5) $\frac{3}{7}$
(IBPS RRBs Officer CWE (Pre.) 14.11.2016 (Shift-III))
Show Answer
Correct Answer: (4)
Solution: (4)
$\therefore$ A completes $\frac{6}{7}$ work in 12 days.
$\therefore$ Time taken by $A$ in doing whole work $=\frac{12 \times 7}{6}=14$ days
$\therefore$ Time taken by $B=\frac{14}{1.5}$ days
$\therefore \quad$ B’s 1 day’s work $=\frac{1.5}{14}$
$\therefore$ B’s 6 day’s work $=\frac{6 \times 1.5}{14}=\frac{9}{14}$
$\therefore$ Remaining work $=1-\frac{9}{14}=\frac{5}{14}$
BETA
