Question

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.​

Answer 1

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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