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.
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Answer:
rakesh can do a job in 24 days
In 1 day, rakesh can finish = 1/24 of the work Bhaskar can finish the same job in 30 days
In 1 day, bhaskar can finish = 1/30 of the work
In 1 day, both can finish = 1/24 + 1/30 = (5+4)/ 120 = 9/120 of the work.
total days to finish it 1/(9/120) = 120/9 days = 13.33 days
total amount paid for the work = 1800
in 120/9 days, rakesh did = 120/9 24 = 5/9 of the work
So rakesh's share = 5/9 x 1800 = 1000
Bhaskar's share 1800-1000=800
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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 * 30 ) = 10 days
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