Question

A contractor employs a work force of 200 men to complete a project in 8 months. He was asked to complete the work in 5 months. How many extra workers should he employ?​

Answer 1

question:

A contractor employs a work force of 200 men to complete a project in 8 months. He was asked to complete the work in 5 months. How many extra workers should he employ?

solution:

$\purple{ \sf 120}$

Given:

A contractor employs a work force of 200 men to complete a project in 8 months. He was asked to complete the work in 5 months.

To find:

How many extra workers should he employ?

step by step explanation:

let the extra workers should be employed be x

$\sf Total \: men = (200 + x)men$

$\sf(200 + x)5 = 200 \times 8$

$\sf(200 + x) \cancel{5} = \cancel{200 }\times 8$

$\sf(200 + x)1 = 40 \times 8$

$\sf(200 + x) = 320$

$\sf x = 320 - 200 = 120$

or

$\sf200 \times 8 = x \times 5$

$\sf x = \frac{ \cancel{200} \times 8}{ \cancel{5}}$

$\sf x = \frac{40 \times 8}{1}$

$\sf x = 320$

∴ extra men = 320-200 = 120.

Therefore:

$\red{ \sf 120 \: extra \: workers \: he \: should \: employ.}$