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 $=0$