Question

ram can complete the work in 10hrs. ajit in 12 hrs and suresh in 15 hrs

Answer 1

$\textbf{Given:}$

$\text{Ram can complete a work in 10 hours}$

$\text{Ajith can complete the same work in 12 hours}$

$\text{Suresh can complete the work in 15 hours}$

$\textbf{To find:}$

$\text{The hours they together can complete the work}$

$\textbf{Solution:}$

$\text{From the given data,}$

$\text{Ram's one hour work}=\dfrac{1}{10}$

$\text{Ajith's one hour work}=\dfrac{1}{12}$

$\text{Suresh's one hour work}=\dfrac{1}{15}$

$\text{when they work together,}$

$\text{Their one hour work}=\dfrac{1}{10}+\dfrac{1}{12}+\dfrac{1}{15}$

$=\dfrac{6+5+4}{60}$

$=\dfrac{15}{60}$

$=\dfrac{1}{4}$

$\therefore\textbf{Together they can complete the work in 4 hours}$