A ,B and C can cultivate a field in 10,12 and 15 days respectively. If they work together , in how many days will they finish the work and what fraction of the work will each of hem do?
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i solve this question by LCM method
step1:-
LCM of 10,12,15 =60
hence 60 unit work have
work done by A per day =60/10=6unit/day
work done by B per day =60/12=5unit/d
work done by C " " "=60/15=4unit/d
now take days when they work together
=60/(6+5+4)=4days
fraction of work by
A=(6 x4)/60=4/10=0.4
B=(5x4)/60=1/3
C=(4 x 4)/60=16/60=4/15
step1:-
LCM of 10,12,15 =60
hence 60 unit work have
work done by A per day =60/10=6unit/day
work done by B per day =60/12=5unit/d
work done by C " " "=60/15=4unit/d
now take days when they work together
=60/(6+5+4)=4days
fraction of work by
A=(6 x4)/60=4/10=0.4
B=(5x4)/60=1/3
C=(4 x 4)/60=16/60=4/15
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