SOLUTION: Twenty five men have enough food for 100 days. twenty days later five more men arrive at the camp.how long will the remaining food last for now?

Question 838116: Twenty five men have enough food for 100 days. twenty days later five more men arrive at the camp.how long will the remaining food last for now?
Answer by josgarithmetic(39623) (Show Source): You can put this solution on YOUR website!
This is a task rates problem, a kind of uniform rates situation.

The task to be done is, "consume the food". We do not know the amount of food, but we just know the rate at which 25 men will consume it, and the number of days that way.

Find the rate of one man. One man will need 25 times more days than will 25 men.
Follow that and say, 1 man needs days to consume the supply of food.
This is 1 task per 2500 days, or jobs per day, the one-man rate.

Now you have 25 men consuming for 20 days, and then you have 25+5 men consuming food for unknown d number of days. We want to find d. We have the sum of two portions of the task:

, one whole task of consuming the supply of food. This is , and is based on the uniform rate fact of , where R is rate in job per time, and j is how much or many job.

When you follow that description, then you are ready to solve for d. Number of days "how long the food lasts" once the 5 new men arrive.
RELATED QUESTIONS
Twenty men can finish the job in 30 days. Twenty five men were hired at the start and 10... (answered by josgarithmetic)

In a camp, 95 men had provisions for 200 days. After 5 days, 30 men left the camp. For... (answered by richwmiller)

if five men can do a piece of job in twenty-five days, how many days will it take ten men (answered by ewatrrr)

In a camp of 4000 men, there were provisions of food for 190 days. After 30 days 800 men... (answered by ankor@dixie-net.com)

one thousand men in jat regiment at ladakh have food in stock for 12 days. how long will... (answered by priyam)

Five men take 12 days to complete a job. How long will 8 men take at the same... (answered by mananth)

A construction crew of 150 men has enough food for 9 days. How many days will the food... (answered by ankor@dixie-net.com)

In a camp,50 men have enough food for 45days.Some of the men leave the camp and the food... (answered by fractalier)

Twenty men did 1/4 of a job in eight days. Then it became necessay to complete the job... (answered by ankor@dixie-net.com)