Question

the number of days needed in repairing a house varies inversely as the number of men working. It takes 15 days for 2 men to repair the house.How many men are needed to complete the job in 6 days​

Answer 1

Step-by-step explanation:

15 days/2 men=6 days/x men15(2)=6x30=6x30/6=6x/65=x... 5 men are needed to complete the job in 6 days  More

Answer 2

Time and work

Given:

It takes 15 days for 2 men to repair the house. Number of days needed in repairing is inversely proportional to the number of men working.

To find:

Number of men are needed to complete the job in 6 days​.

Explanation:

Let the work done by one men in 1 day be  $=\frac{1}{x}$

So work done by 2 men in 1 day will be  $\frac{2}{x}$

Work done by both men in 15 days is  $\frac{30}{x}$

Hence the job is $30/x$

let the number of men needed is y,

so total work done = product of number of men and number of days and efficiency of work done by a men.

$\frac{30}{x} =y\times6\times(\frac{1}{x})\\\\30=6y\\\implies y=5\ men$

Hence 5 men will be needed to complete this job.