Question

One person can do a job in a day. How many days can 5 people do that work?​

Answer 1

Answer:

There is formula for this :

MDH = W

M= Man, D = Day, H= Hours, W = Work .

so, if Work is constant, i.e, if the same work to be done, then, the equation goes like this:

M1 * D1 *H1 = M2 * D2* H2

10 * 5 * 2 = 2 * D2 * 5

100 = 10 * D2

D2 = 10 days.

Answer 2

Originally Answered: It takes 10 road workers 5 days to complete a road repair when working 2 hours a day. Working at the same pace, how many days will it take 2 people working 5 hours a day to finish it?

First statement: 10 road workers take 5 days to complete a work, working 2 hours a day.

Let us calculate how many days 2 workers will need, if they were to work at the same pace (i.e. each working 2 hours a day). The workforce is now decreased to 2 divided by 10 = 1/5 (i.e. one-fifth).

Therefore proportionately, the time will increase to 5 days divided by 1/5, (i.e. 5 / (1/5) = 25 days.

We now know that 2 workers will need 25 days to finish the work, if hey work for 2 hors a day.

Now the question is what will happen if the two men work 5 hours per day, instead of 2 hours per day?

The labor they put in has increased to 5 divided by 2 = 2.5 (i.e. 2 and half times).

Consequently, the time needed to finish the work will decrease to 25 divided by 2.5 (i.e. ( 25 / 2.5 ) = 10. days.

The answer : 10 Days.