Math, asked by MATRIXFF, 4 months ago

A can do apeice of work in 4 days, B can do it in 6 days. How many days A and B take to complete working together.

Exam h serious answer dena​

Answers

Answered by lAnniel
23

\huge{\underline{\sf{Question :-}}}}

A can do a peice of work in 4 days, B can do it in 6 days. How many days A and B take to complete working together.

\huge{\underline{\sf{Answer :-}}}}

\boxed{ \sf \blue{For\:A,}}

✏ Number of days required to do the work = 4 days.

✏ ∴ In 1 day, A can work = 1/4

\boxed{ \sf \blue{ For\:B,}}

✏ Number of days required to do the work = 6 days.

✏ ∴ In 1 day, B can work = 1/6

\red{\underline\bold{Now,}}

✏ Total work done by A and B in 1 day = 1/4 + 1/6

= (1\:×3\:+\:1\:×\:2)÷\:12

= (3\:+2)÷\:12

= \frac{5}{12}

\green{\underline\bold{Again,}}

✏ Number of days taken by A and B to complete the work together = 1\:/\:Total\:work \:done\: by\: A \:and \:B\: in \:1 \:day

⠀⠀⠀⠀⠀⠀=  1\:/\:(5\:÷\:12)

⠀⠀⠀⠀⠀⠀=  12\:/\:5

⠀⠀⠀⠀⠀⠀= 2 \frac{12}{5}

\green{\underline\bold{∴\:The\: required\: answer\: is :}}

= 2 \frac{12}{5} days.

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Answered by queen1234516
1

Answer:

answer is

2 12/5......

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