A,B and C can do a piece of work in 8 days,12days and 15
days respectively. How long will they take to finish if they
work together
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Step-by-step explanation:
A can complete a work in = 8 days
in 1 day no. of work completes = 1/8
B can complete a work in = 12 days
in 1 day no. of works completes = 1/12
C can complete a work in = 15 days
in 1 day no. of works completes = 1/15
if they work together then work will complete in =
1/8 + 1/12+ 1/15
lcm of 8 , 12 and 15 is = 120
then,
15 + 10 + 8 /120
33/120 = 11/40
so, to complete a work together they will take 40/11 days
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