Mathematics
posted by Elizabeth .
A garrison of 1200 men has sufficient ratios for 25 days at the rate of 2400g per man per day. If 300 man join them and the ratios are reduced to 2000g per man per day,how long will the road last all of them?
Thank you :)

1500 men at 2Kg/man day > 3000 Kg needed per day
1200 *2.4 Kg/man day *25 days = 72,000 Kg availablee
3000 * number of days = 72,000
so
days = 24 days 
The number of men increases by a ratio 1500/1200 = 5/4, so the food would last 4/5 as long if the same rations are maintained. However, since the rations are being reduced by a ratio 2000/2400 = 5/6 , the food will last 4/5 * 6/5 as long, or (24/25)*25, which is 24 days.
Respond to this Question
Similar Questions

Engineering Economics
Sales of bottled water in the U.S totaled 16.3 gallons per person in 2004. Water costs .40 cents per bottle.A municipal company provides tap water for $2.10 per 1000 gallons. If the average person drinks two bottles of water per day … 
Math
It takes one man one day to dig a 2m x 2m x 2m hole. How long does it take 3 men working at the same rate to dig a 4m x 4m x 4m hole? 
math
The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $630 per person per day if exactly 20 people sign up for the cruise. However, if more than 20 people (up to the maximum capacity of 90) sign up for the … 
Intergated chemistry/physics
A 200 man is running 3 miles per hour and collides with a 125 pound man. If the larger man transfers all of his momentum to the smaller man, will the smaller man travel slower, faster or at the same speed as the larger man? 
Math
The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $430 per person per day if exactly 20 people sign up for the cruise. However, if more than 20 people (up to the maximum capacity of 90) sign up for the … 
math
The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $630 per person per day if exactly 20 people sign up for the cruise. However, if more than 20 people (up to the maximum capacity of 90) sign up for the … 
Survey of Mathematics
Suppose a car rental agency gives the following choices: Option A: $30 per day plus 40 cents per mile Option B: flat $50 per day (unlimited miles) At what mileage are both rates the same if you rent the car for 3 days? 
College Math
The number of visitors to your business website increased at a rate of 60% per day, going from 30 per day to 30,000 per day. How many days did it take to go from 30 to 30,000 visitors per day? 
physics
a man walks 0.9 miles around a shopping mall in a half an hour what is the speed in miles per hour in meters per second and in kilometers per day 
physics
a man walks 0.9 miles around a shopping mall in half an hour what is his speed in miles per hour, in meters per second, and kilometers per day/?