Question

Thirty men were engaged to construct a road in $2$ months. But $6$men did not come to work at all. How many days will it take to construct the road?

( Assume that $2$ months $=$$60$ days)

Answer 1

Given that $30$ men were engaged to construct a road in $2$ months.

We know that,

$2$ months $=$$60$ days

Therefore,

$30$ men were engaged to construct a road in $60$ days

Number of days required by $1$ man to construct same road $=$$30\times 60days=1800days$

Since $6$men did not come to work at all.

Number of men engaged in work $=$$30-6=24$

Number of days required by $24$ men to construct same road $=$$\frac{1800}{24}days=75days$

Hence, it will take $75days$ to construct same road if $6$men did not come to work at all.