SOLUTION: A canteen in an isolated mining town has enough food to feed 520 workers for 8 days. Another 312 workers arrive. How long will the food last now?
Question 1185818: A canteen in an isolated mining town has enough food to feed 520 workers for 8 days. Another 312 workers arrive. How long will the food last now? Found 3 solutions by ikleyn, greenestamps, josgarithmetic:Answer by ikleyn(52787) (Show Source): You can put this solution on YOUR website! .
The total food supply at the canteen is 520*8 units.
With 520 + 312 workers, it will be consumed in = 5 days.
In the short form, the setup equation is
520*8 = (520+312)*x,
where x is the number of days.
From this equation, you get x = 5 days. ANSWER
The number of workers increased from 520 to 520+312=832; the number of workers increased by a factor of 832/520.
The same amount of food will now last 520/832 as long.
ANSWER: 5 days
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website! The workers do the job of consuming the available food.
The mentioned food is the 1 allotment of food.
Rate of consumption for one worker, r;
First arrangement, before any food consumed,
The second and actually expected arrangement,
for x number of days.