A takes 6 days less than the taken by B to finish a piece of work.if A and B together can finish other in 4 days, then taken by B to finish the work is
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Answer:
B a period of 12 days to finish the job.
Step-by-step explanation:
the time it takes for B to finish the piece of work x.
For problems like these, we must consider how much work can be done in one day.
1x+1x−6=14
x−6x(x−6)+xx(x−6)=14
4(x−6+x)=x2−6x
4(2x−6)=x2−6x
8x−24=x2−6x
0=x2−14x+24
0=(x−12)(x−2)
x=12and2
If the time it takes B is 2 days, then the time it takes A is −4 days, which has no sense.
∴ , it would take B a period of 12 days to finish the job.
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