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Let the total units of work be LCM(10,15)=3
A does 30/10 = 3 units per day work
B does 30/15 = 2 units per day work
Together they do (3+2)=5 units of per day work.
Let say both of them worked for x days.
Work done by them in x days = 5x
Remaining work = 30–5x
This remaining work done by A alone in 5 days
Hence,
5*(A's work per day)= 30–5x
5*3=30–5x
x=3
A & B worked for 3 days.
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