Time And Work Ques 3

Question-

If 36 persons are engaged on a piece of work, the work can be completed in 40 days. After 32 days, only $\frac{3}{4}$ th of the work was completed. How many more persons are required to complete the work on time?

(1) 10

(2) 8

(3) 9

(4) 12

(5) None of these

(IBPS Bank PO/MT CWE-IV 18.10.2014)

Show Answer

Correct Answer: (3)

Solution: (3)

Remaining work $=1-\frac{3}{4}=\frac{1}{4}$;

Remaining time $=8$ days

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

$\Rightarrow \frac{36 \times 40}{1}=\frac{M_{2} \times 8}{\frac{1}{4}}$

$\Rightarrow 36 \times 40=M_{2} \times 32$

$\Rightarrow M_{2}=\frac{36 \times 40}{32}=45$

$\therefore$ Additional men $=45-36=9$