A can finish a piece of work in 15 days and B can do it in two days they worked together for 2 days and then B went away in how many days will a finish the remaining work
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Let a complete work be as 1.
A complete work in 25 days,
So in 1 day, A do work = 1/25
B complete work in 20 days,
So in 1 day, B do work = 1/20
In 5 days both do work = 5*(1/25)+5*(1/20) = 1/5+1/4 = 9/20
So 9/20 work is completed in 5 days.
Now, remaining work=1–9/20 = 11/20
So B will complete work in = (11/20)/(1/20)=11 days
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A finish after 13day and b finished in 2day
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