Question 105

How much should be paid to Changez when work is completed combinedly by Akbar, Babar and Changez in 2 days, and the total amount paid to the team is 100 Dinars? It is known that Akbar alone can do the work in 10 days, whereas Babar takes 5 days for the completion of the same work.

Solution

Let us assume the total work as 10 units.

Now, Akbar alone takes 10 days to complete the work, making his efficiency as 1 unit/day.

Babar takes 5 days to complete the same work, which means his efficiency is 2 units/day.

It is also given that Akbar, Babar, and Changez together take 2 days to complete the work, which means their combined efficiency is 5 units/day.

Therefore, Changez's efficiency would be 2 units/day (excluding Akbar and Babar from the combined efficiency).

Now, the amount shall be distributed to the three in the ratio of their efficiencies, which is 1:2:2 (Akbar, Babar, and Changez).]

This makes Changez's earning as 40 dinars out of the total 100 dinars. 


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