Question 1058142
Dinu and Hemu do 1 job in 15 days.
Dinu does  {{{1/8}}} the job in 5 days.
Just Hemu needs h days for 1 job.
Dinu does 1 job in d days.


{{{system(1/d+1/h=1/15,(1/d)*5=1/8)}}}


Simplifying each equation,
-
{{{dh(1/d+1/h)=dh(1/15)}}}
{{{h+d=dh/15}}}
{{{15h+15d=dh}}}
-
{{{5/d=1/8}}}
{{{d=40}}}
Already the time needed for Dinu for 1 job.


{{{15h+15*40=40*h}}}
{{{15*40=(40-15)h}}}
{{{25h=15*5*8}}}
{{{h=(3*5*5*8)/(5*5)}}}
{{{highlight(h=24)}}}