Question

# A contractor employed 210 men to build a house in 60 days. After 12 days, he was joined by 70 more men. In how many days will the remaining work be finished?

A
35
B
36
C
38
D
40

Solution

## The correct option is A 36So, $$210$$ men employed for $$60$$ days to complete work.So, total expected work $$=(210\times 60)$$So, According to the question-$$\underbrace {(210\times 12)}_{First\quad 12\quad days}+\underbrace {x}_{Next\quad no.\quad of\quad days\quad}\underbrace {(210+70)}_{When\quad 70 \quad more\quad men\quad join\quad}=\underbrace {210\times 60}_{Total\quad work}$$$$\implies 2520+230x=12600$$$$\implies 230x=10080$$$$\implies x=36$$So, $$36$$ more days are required.Mathematics

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