Time And Work Ques 38

Question-

Five men take 60 days to build a wooden room working 8 hours per day. In how many days, two such wooden rooms can be built by eight men working 10 hours per day?

(1) 80 days

(2) 75 days

(3) 60 days

(4) 90 days

(5) 50 days

(IBPS RRBs Officer Scale-I CWE Main Exam, 13.10.2019)

Show Answer

Correct Answer: (3)

Solution: (3)

$\because \frac{M_{1} D_{1} T_{1}}{W_{1}}=\frac{M_{2} D_{2} T_{2}}{W_{2}}$

$\Rightarrow \frac{5 \times 60 \times 8}{1}=\frac{8 \times D_{2} \times 100}{2}$

$\Rightarrow D_{2} \times 40=5 \times 60 \times 8$

$\Rightarrow D_{2}=\frac{5 \times 60 \times 8}{40}$ $=60$ days