Question

a takes 16 days less than the time taken by b to finish a piece of work if both A and B together can finish it in 6 days find the time taken by b to finish the work

Answer 1

Answer:

Step-by-step explanation:

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.

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