Question

A can do job a 15 days.,and B in 10 days. How many days will take to finish the job if they work together ?
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Answer 1

$\huge\color{golden}\underline{Solution:-}$

$\huge{\mathscr{\fcolorbox{navy}{orange}{\color{darkblue}{Given:-}}}}$

A can do work in $15$ days

B can do work in $10$ days

$\huge{\mathscr{\fcolorbox{navy}{orange}{\color{darkblue}{to\: Find:-}}}}$

A,B can work Together in

$\huge{\mathscr{\fcolorbox{navy}{orange}{\color{darkblue}{Answer:-}}}}$

Work done by A= $\frac{1}{15}$

Work done by B= $\frac{1}{10}$

Work done by A and B together

⇒$\frac{1}{15}+ \frac{1}{10}$

⇒$\frac{1}{5} (\frac{1}{3} +\frac{1}{2})=\frac{1}{5} *\frac{5}{6} =\frac{1}{6}$

Both The A, B can complete the work in $6$ days

$\Large{\underline\orange{\underline{\bf\pink{hope\:it\:helps}}}}$