Raj can do a piece of work in 20 days. He started the work and left after some days, when 25% work was done. After it Abhijit joined and completed it working for 10 days. In how many days Raj and Abhijit can do the complete work, working together?

Raj can do a piece of work in 20 days. He started the work and left after some days, when 25% work was done. After it Abhijit joined and completed it working for 10 days. In how many days Raj and Abhijit can do the complete work, working together? Correct Answer 8

Efficiency of Raj = $$\frac{{100}}{{20}}$$ = 5%Work completed by Raj = 25%Rest work = 75%Efficiency of Abhijit = $$\frac{{75}}{{10}}$$ = 7.5%Combined efficiency = 5 + 7.5 = 12.5%They will complete the whole work by working together in,= $$\frac{{100}}{{12.5}}$$ = 8 days
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