Question

P can do a work in 10 days and Q can do it in 15 days. Then, in how many days can both P and Q together do the work

Answer 1

$\huge\bold\color {green}{Hello \: Friend \: !!}$

$\red {\bold {Here \: is \: your \: answer}}$

$\underline\bold{Answer : 6 \: days}$

$\bold {↪ No.of \: days \: taken \: by \: P \: to \: complete \: 1 \: work = 10 \: days}$

$\bold {↪ No.of \: days \: taken \: by \: Q \: to \: complete \: 1 \: work = 15 \: days}$

$\bold {↪ P's \: 1 \: day \: work = {\frac {1}{10}}}$

$\bold {↪ Q's \: 1 \: day \: work = {\frac{1}{15}}}$

$\bold {↪ P \: and \: Q \: 1 \: day \: work = {\frac {1}{10} + {\frac {1}{15}}}}$

$\bold {↪ P \: and \: Q \: 1 \: day \: work = {\frac {3+2}{30}}}$

$\bold {P \: and \: Q \: 1 \: day \: work = {\frac {1}{6}}}$

$\bold {Therefore, P \: and \: Q \: together \: can \: complete \: the \: work \: in \: 6 \: days}$

$\mathbb {\huge {\fcolorbox{yellow}{green}{Hope It Helps}}}$