Rajan can do a piece of work in 24 days while amit can do it in 30 days in how many days can they complete it if they work together?

Given

Work done by rajan in 1 day = x = 1/24
Work done by amit in 1 day = y = 1/30
So, work done by both of them in 1 day = x+y = 54/120 = 3/40
Total work done in x days by both of them = 1.
Thus, (x)(3/40)=1 i.e. x=40/3 =13.3333
So, if both of them work together it will take 13.3333 days for them to complete work

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