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
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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
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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 :
To find :
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.
[tex]{ \huge{ \bold{ \underline{ \underline{ \green{Answer:-}}}}}}[/tex]
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..
[tex]{ \huge{ \bold{ \underline{ \underline{ \purple{Answer:-}}}}}}[/tex]
✒Given :
[tex]\dashrightarrow\sf{As\:A\:worked\:for\:two\:days={\cancel{2}}\times\dfrac{1}{\cancel{16}}}[/tex]
[tex]\dashrightarrow\sf{\dfrac{1}{8}}[/tex]
✒According to the question :
[tex]\dashrightarrow\sf{\dfrac{1}{8}+x\bigg(\dfrac{1}{16}+\dfrac{1}{12}\bigg) =1}[/tex]
[tex]\dashrightarrow\sf{x\times{\dfrac{7}{48}}=\dfrac{7}{8}}[/tex]
[tex]\dashrightarrow\sf{\dfrac{7x}{48}=\dfrac{7}{8}}[/tex]
[tex]\dashrightarrow\sf{x=\cancel\dfrac{48\times{7}}{7\times{8}}}[/tex]
[tex]\dashrightarrow\sf{{ \large{ \bold{ \bold{ \bold{ \blue{x=6}}}}}}}[/tex]