SOLUTION: A can do a work in 6 days. B can do it in 8 days. A B and C do it together in 3 days. How much of the compensation of Rs 3200 would C get?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A can do a work in 6 days. B can do it in 8 days. A B and C do it together in 3 days. How much of the compensation of Rs 3200 would C get?      Log On


   

Question 881999: A can do a work in 6 days. B can do it in 8 days. A B and C do it together in 3 days. How much of the compensation of Rs 3200 would C get?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The question is:
What fraction of the job does C get
done in 3 days?
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Let +d+ = number of days for
C to do the job
Add their rates of working to get their
rate working together
+1%2F6+%2B+1%2F8+%2B+1%2Fd+=+1%2F3+
Multiply both sides by +24d+
+4d+%2B+3d+%2B+24+=+8d+
+d+=+24+
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+1%2F6+%2B+1%2F8+%2B+1%2F24+=+1%2F3+
+4%2F24+%2B+3%2F24+%2B+1%2F24+=+8%2F24+
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The ratio to divide the Rs 3200 should be
4 : 3 : 1, so C should get +%281%2F8%29%2A3200++
+%281%2F8%29%2A3200+=+400+
C should get Rs 400