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?

Click here to see ALL problems on Age Word Problems

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

Solved.

Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!

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.