Question 946461
Rate x Time = Total Output
So they're eating at 100% rate or R for 24 days.
So the Total Output they are consuming is,
{{{O=R*t}}}
{{{O=24R}}}
So they have {{{24R}}} amount of food.
Now if instead of using at rate R, they reduce it by 20%, then the new R,
{{{R[n]=R-(20/100)R=0.8R}}}
You still have the same amount of food, find the new time.
{{{R*t=O}}}
{{{R[n]*t[n]=24R}}}
{{{0.8R*t[n]=24R}}}
{{{t[n]=(24R)/(0.8R)}}}
{{{t[n]=30}}}
They could hold out for 30 days by reducing rations 20%.