SOLUTION: A can complete a piece of work in 40 days and B in 60 days. A worked alone for 4 days and then B completed work along with c in 36 days. in how many days can C work alone to comple

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Question 908123: A can complete a piece of work in 40 days and B in 60 days. A worked alone for 4 days and then B completed work along with c in 36 days. in how many days can C work alone to complete the work ?/
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Assigning Variables and Setting Equation To Solve:

RATES
A,
B,
c, , letting c = how many days the same named c needs to do the job alone.

A works alone for 4 day;
Without A, B and c complete the work in 36 days.

.
This equation uses the uniform rates rule for doing a job or task, refers to the one job counted as 1. The rule is RT=J using rate time, and job. The job to be done in the example was split into two parts... one part for 4 days and the other part for 36 days.

Solve the equation for c.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
A can complete a piece of work in 40 days and B in 60 days. A worked alone for 4 days and then B completed work along with c in 36 days. in how many days can C work alone to complete the work ?/

B and C completed remaining of job
Thus, working alone, C can complete work in days
You can do the check!!
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