Question

A and B can do a piece of work in 12 hrs, B and C can do it in 15 hrs and C and A can do it in 10 hours. If 15000 rupees will be given to cultivate a land of one hectare then how much will each get if all three work together?​

Answer 1

Step-by-step explanation:

These types of problem can be solved by considering Rate at which work is done because for work to be done Time can’t be added as it is inversely proportional ,it is Rate which should be added.

Since Rate is inversely proportional to Time taken by a person.

So we can say for X amount of work their respective Rates are :

A =X/12

B=X/15

C=X/20

So their combined Rates are considered when they do work together.

Rate=X/12+X/15+X/20=X/5.

So if they work together it will take a total of 5 days to complete same amount of work.