Question

In a textile company. 30 men require 4 hours to prepare 1800 meters of cloth. The company
received an order of 5400 meters of cloth to process. The company assigned 60 men team to
process the order. How many hours the team will need to complete the task?​

Answer 1

Explanation:

30 x X = 60 x 4

30x= 240

x= 240/30

8 hours

4 x 5400= 1800 x X

21600= 1800X

21600/1800 = X

12 h

Answer 2

Answer:

60 men will take 6hrs to prepare 5400meters of cloth.

Explanation:

Given:

30 men require 4 hours to prepare 1800 meters of cloth.

Since, the time required by 30 men  to prepare 1800 meters of cloth    is 4hrs

So, time taken by 30 men to prepare 5400 meters of cloth

       = $\frac{(5400)(4)}{1800}$

       $=12hrs$

Since, 30 men can prepare 5400 meters of cloth in 12 hours , 60 men can do the same work in

$\frac{30}{60} =\frac{x}{12}$    

(Number of men required to do the work and time taken are    inversely proportional)

$x=\frac{(30)(12)}{60}$

$x=6hrs$

The time taken by 60 men to prepare 5400 meters of cloth is 6hrs

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