Math CentralQuandaries & Queries


Question from farah, a student:

A can do a piece of work in 10 days while B can do the same work in 15 days . They work together for 5 days and the rest of the work is done by C in 2 days . If they get 400$ for the whole work , what should be A's share.

Hi Farah,

It depends on how they are paid. A worked for 5 days, B worked for 5 days and C worked for 2 days so that is a total of 17 person days to complete the job. A worked for 5 of these 17 person days so maybe A should get five seventeenths of the 400$.

Perhaps they get paid by the proportion of the job they competed. A can complete the job in 10 days and he worked for 5 days so he completed half the job. Maybe he should get half of the 400$.

What does their contract say?

About Math Central


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.
Quandaries & Queries page Home page University of Regina PIMS