A project manager hired 16 men to complete a project in 38 days. However, after 30 days, he realized that only 5/9th of the work is complete. How many more men does he need to hire to complete the project on time ?
A project manager hired 16 men to complete a project in 38 days. However, after 30 days, he realized that only 5/9th of the work is complete. How many more men does he need to hire to complete the project on time ? 1). 48 2). 24 3). 32 4). 16
It is clear from the question, 16 men do 5/9th of work in 30 days. Let 'n' no. of more men are required to complete the remaining work. Hence, (n+16) men do 4/9th of work in 8 days. We know that, $\frac{Amount of work}{No. of men\times{No. of days}}=Constant$. Hence, $\frac{5/9}{16\times30}=\frac{4/9}{(n+16)\times8}$. $n=32$. Hence, Option C is correct.
It is clear from the question, 16 men do 5/9th of work in 30 days. Let 'n' no. of more men are required to complete the remaining work. Hence, (n+16) men do 4/9th of work in 8 days. We know that, $\frac{Amount of work}{No. of men\times{No. of days}}=Constant$. Hence, $\frac{5/9}{16\times30}=\frac{4/9}{(n+16)\times8}$. $n=32$. Hence, Option C is correct.
