Time And Work Ques 48

Question-

Four examiners can examine a certain number of answer papers in 10 days by working for 5 hours a day. For how many hours in a day would 2 examiners have to work in order to examine twice the number of answerpapers in 20 days?

(1) 8 hours

(2) $7 \frac{1}{2}$ hours

(3) 10 hours

(4) $8 \frac{1}{2}$ hours

(5) None of these

(Punjab & Sind Bank PO Exam. 23.01.2011)

Show Answer

Correct Answer: (3)

Solution: (3)

Examiners work Days Hours/day

$\left.\therefore \begin{array}{c}2: 4 \ 1: 2 \ 20: 10\end{array} \right. :: 5: x$

$\Rightarrow 2 \times 20 \times x=4 \times 10 \times 5 \times 2$

$\Rightarrow x=\frac{4 \times 10 \times 5 \times 2}{2 \times 20}$ $=10$ hours

Aliter :

$\frac{M_{1} D_{1} H_{1}}{W_{1}}=\frac{M_{2} D_{2} H_{2}}{W_{2}}$

$\Rightarrow \frac{4 \times 10 \times 5}{1}=\frac{2 \times 20 \times x}{2}$

$\Rightarrow x=\frac{4 \times 10 \times 5 \times 2}{2 \times 20}=10 hrs$.