SOLUTION: two workers a and b together could finish the work in 8 days.they worked together for six days and a left the work.the remaining work was completed by b alone in 6 days.how many da

Algebra ->  Rate-of-work-word-problems -> SOLUTION: two workers a and b together could finish the work in 8 days.they worked together for six days and a left the work.the remaining work was completed by b alone in 6 days.how many da      Log On


   

Question 851090: two workers a and b together could finish the work in 8 days.they worked together for six days and a left the work.the remaining work was completed by b alone in 6 days.how many days would each take?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Rate of a is 1/x.
Rate of b is 1/y.

R%2AT=J, uniform rate situation for task or job completion, "work".
Agents working simultaneously do so at a rate the sum of their individual rates.

EQUATIONS FROM THE DESCRIPTION
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%281%2Fx%2B1%2Fy%29%2A8=1
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%281%2Fx%2B1%2Fy%29%2A6%2B%281%2Fy%29%2A6=1

The rest of the solution is not shown, so you can solve the two simultaneous equations. Very important is to understand the concept of uniform rates, and to analyze the problem and develop the equations shown.