Question

This is class 8 grade question plz tell fast I'm in a hurry and I don't want silly answers proper answer with proper explanation.First answer with explanation will be marked brainliest.send fast ​

Answer 1

Question :

A and B can finish a piece of work in 16 days and 12 days respectively. A started the and worked at it for 2 days. He was then joined by B. Find the total time taken to find work.

Solution :

Given :

• A and B can finish a piece of work in 16 days and 12 days respectively.
• A started the and worked at it for 2 days.

To find :

• The total time taken to finish the whole work =?

Step-by-step explanation :

Let whole work be, 1

Work done by A in one day = 1/16

Work done by B in one day = 1/12

A worked for 2 days = 2 × 1/16 = 1/8

Now,

Let A and B worked for x days.

According to the question,

1/8 + x (1/16 + 1/12) = 1

x × 7/48 = 7/8

x = 6.

Therefore, the total time taken to finish the work = 6 days.

Answer 2

${ \huge{ \bold{ \underline{ \underline{ \green{Answer:-}}}}}}$

A and B finish a piece of work in 16 days and 12 days respectively. A started the and worked at it for 2 days. He was then joined by B. Find the total time taken to Find Work..

${ \huge{ \bold{ \underline{ \underline{ \purple{Answer:-}}}}}}$

✒Given :

• Work done by A in a day = 1/16
• Work done by B in a day = 1/20

$\dashrightarrow\sf{As\:A\:worked\:for\:two\:days={\cancel{2}}\times\dfrac{1}{\cancel{16}}}$

$\dashrightarrow\sf{\dfrac{1}{8}}$

• Let a and b both worked for y days..

✒According to the question :

$\dashrightarrow\sf{\dfrac{1}{8}+x\bigg(\dfrac{1}{16}+\dfrac{1}{12}\bigg) =1}$

$\dashrightarrow\sf{x\times{\dfrac{7}{48}}=\dfrac{7}{8}}$

$\dashrightarrow\sf{\dfrac{7x}{48}=\dfrac{7}{8}}$

$\dashrightarrow\sf{x=\cancel\dfrac{48\times{7}}{7\times{8}}}$

$\dashrightarrow\sf{{ \large{ \bold{ \bold{ \bold{ \blue{x=6}}}}}}}$