Vijay can do a piece of work in 24 days Rakesh can do the same work in 30 days and Vinod in 40 ...........

Quant (SSC) Percentage

Vijay can do a piece of work in 24 days. Rakesh can do the same work in 30 days and Vinod in 40 days. Vijay and Vinod worked for 4 days and handed it to Rakesh. Rakesh worked for some days and handed it again to Vijay and Vinod 6 days before completing the work. For how many days did Rakesh work?

5 days

10 days

8 days

6 days

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Explanation:

Combined work done by Vijay and Vinod in 4 + 6 days (4 initial days and last 6 days)
= 10/24 + 10/40 = 2/3
∴ Remaining work = 1 - 2/3 = 1/3
Rakesh works for (1/3 x 30) = 10 days