Time And Work Ques 15
Question-
15 men can finish a piece of work in 8 days. 18 women can finish the piece of work in 10 days. 6 men and 6 women started working together and worked for 10 days. If the remaining work needed to be finished in 2 days, how many men should be added to the existing number of workers?
(1) 2
(2) 5
(3) 3
(4) 0
(5) 1
(Bank of Baroda Exam, 25.09.2016)
Show Answer
Correct Answer: (4)
Solution: (4)
According to the question,
$15 \times 8$ men $\equiv 18 \times 10$ women
$\Rightarrow 2$ men $\equiv 3$ women
$\therefore 6$ men +6 women $\equiv(6+4)$ men $=10$ men
$\therefore M_{1} D_{1}=M_{2} D_{2}$
$\Rightarrow 15 \times 8=10 \times D_{2}$
$\Rightarrow D_{2}=12$ days
or additional men $=0$