One man can do a piece of work in 3 hours ;another can do the same piece of work in 2 hours. How long they will take, if they work together?
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Answer:
Let one hour work of first man be=x
Let one hour work of other man be =y
Total work to be done =z=3x=2y
Let them take n hours to complete the work together
⇒n(x+y)=z
⇒n(x+y)=3x
⇒n(x+
2
3x
)=3x
⇒n(
2
5x
)=3x
⇒n=
5
6
=1.2 hours
or (1.2×60=72 minute
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