Problema Solution
A and B can finish a work in 30 days. They worked for it for 20 days and then B left. The remaining work was done by A alone in 20 more days. How many days will A take to finish the work alone?
Answer provided by our tutors
Let 'a' and 'b' stand for the rates of A and B in jobs/day. We will use the general equation (#of jobs done)=(rate)*(time). We can write:
1=(a+b)30
1=(a+b)20+a20
what is a?
Using Algebrator to solve for 'a' and 'b', we get:
a= 1/60 jobs/days
Therefore, it would take A 60 days to do the job alone.