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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
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B
36
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C
38
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D
40
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Solution

The correct option is A 36
So, $$210$$ 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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