let us give a value to the total amount of work =x
person a: 40 mins. --> x
24 mins. --> 24x/40
person b: y mins. -->x
24mins -->24x/y
when working together , they complete the whole work in 24 mins.
therefore,
24x/40 +24x/y = x
y=60 mins..
hence , person b completes the same work in 60 minutes.


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