Question

15. A takes 6 days less than the time taken by B to finish a piece of work I do
together can finish it in 4 days, Find the time taken by B to fininish the work
​

Answer 1

Answer: 12 days

Step-by-step explanation:

We call the time it takes for B to finish the piece of work x.

For problems like these, we must know how much work can be done in 1day.

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.

Therefore, it would take B a period of 12 days to finish the job.

Hope.... It helps