A and B are collectively finish the paintings in four days. if A on his own finish the paintings in 12 days , in what number of days can B own finish that paintings.
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Answer:
6 days
Step-by-step explanation:
Let the number of days taken by B=x
the number of days taken by A=12
number of days taken by both=4
B takes x days to do 1 work,
therefore he does 1/x work in 1 day
A takes 12 days to do 1 work
therefore he does 1/12 work in 1 day
they both do a work in 4 days
therefore they do 1/4 work in one day
hence, 1/x+1/12=1/4
12+x/12x=1/4
12+x/3x=1
12+x=3x
12=2x
x=6 days
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