Time And Work Ques 33
Question-
36 women can do a work in $x$ days and 30 men can do the same work in $(x-4)$ days. The ratio of work done by 10 men and 12 women in the same time is 2 $: 1$. What is the value of $x$ ?
(1) 10
(2) 12
(3) 6
(4) 8
(5) 7
IBPS RRBs Officer CWE (Prelim Exam) 17.08.2019
Show Answer
Correct Answer: (4)
Solution: (4)
36 women $\Rightarrow x$ days
1 woman $\Rightarrow 36 x$ days
12 women $\Rightarrow \frac{36 x}{12}=3 x$ days
30 men $\Rightarrow(x-4)$ days
1 man $\Rightarrow 30(x-4)$ days
10 men $\Rightarrow \frac{30(x-4)}{10}$ $=3(x-4)$ days
$\therefore \frac{\frac{1}{3(x-4)}}{\frac{1}{3 x}}=\frac{2}{1}$
$\Rightarrow \frac{x}{x-4}=2$
$\Rightarrow 2 x-8=x$
$\Rightarrow x=8$