Question

A workforce of 210 men with contract can finish a contractor can finish a work in 16 months.How many more men should be employed so that the work is completed in 14 months

Answer 1

Answer:

30

Step-by-step explanation:

people needed for 16 months=210

people needed for 1 month =(210×16)

people needed for 14 months=(3360÷14)

=240

more man needed=(240-210)=30

Answer 2

30 more men should be employed so that the work is completed in 14 months.

Explanation:

We know that the there an inversely proportional relation between the number of workers and the time taken to do the work.

Equation of inverse relation between x and y : $x_1y_1=x_2y_2$  (1)

Let x = number of workers

y= time to complete work.

Put $x_1=210 , y_1=16\ \ \&\ y_2=14$ in (i)

$210\times16=x_2(14)\\\\ x_2=\dfrac{210\times16}{14}=240$

i.e. we require 240 workers to complete work in 14 months.

i.e. the number of more workers required = 240-210=30

Hence, 30 more men should be employed so that the work is completed in 14 months.

# Learn more :

A work force of 350 men with a contractor can finish a work in 12 months. How many more men should

be employed so that the work is completed in 7 months?​

https://brainly.in/question/13747502