Question

a and b can do piece of work in 16 and A alone can do in 24 days and how many days does B can do the work​

Answer 1

HIII... .

GOOD MORNING:)

HERE COMES YOUR ANSWER:--------

DAYS TAKEN BY A AND B TOGETHER TO COMPLETE THEIR WORK = 16 DAYS

DAYS TAKEN BY A TO COMPLETE THE WORK = 24 DAYS

A/Q,

1/A+1/B= 1/16

1/24+ 1/B= 1/ 16

SO,

1/B= 1/16+1/24=1/48.

HOPE THIS HELPS YOU......

Answer 2

Given,

${\dfrac{1}{a}+\dfrac{1}{b}=\dfrac{1}{16}}$

And,

${\dfrac{1}{a}=\dfrac{1}{24}}$

-» a = 24.........(1)

Now, SUBSTITUTING in given equation, we get,

${\dfrac{1}{24}+\dfrac{1}{b}=\dfrac{1}{16}}$

-» ${\dfrac{1}{b}=\dfrac{24-16}{384}}$

-» ${\dfrac{1}{b}=\dfrac{8}{384}}$

-» ${b = 48}$

Therefore, B takes 48 days to complete the work.