Pawan can do a piece of work in 32 days. He worked for 8 days and left the work. Thereafter Sandeep finished the remaining work in 27 days. In how many days can Pawan and Sandeep together do the whole work?
Answer & explanation
Correct answer: option 1
Pawan = 32 days
Let us assume his efficiency 1.
so the Total work = Efficiency x Time
32 = 1 x 8
so he worked for 8 days,
Efficiency x Time = Work
1 x 8 = 8,
Remaining work = 32 - 8 = 24
Sandeep completed remaining work in 27 days,
so his efficiency is = \(\frac{work}{time}\) = \(\frac{24}{27}\) =\(\frac{8}{9}\)
Therefore time taken by both of them together to complete the whole work is,
$\frac{32}{1+\frac{8}{9}}$ = \(\frac{288}{17}\)
=\( {16 }_{17 }^{16 } \)days