Posted by **Elizabeth ** on Tuesday, March 13, 2012 at 10:42am.

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 :)

- Mathematics -
**Damon**, Tuesday, March 13, 2012 at 11:45am
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

- Mathematics -
**drwls**, Tuesday, March 13, 2012 at 11:50am
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.

## Answer this Question

## Related Questions

- Intergated chemistry/physics - A 200 man is running 3 miles per hour and ...
- Math - Here men were invited to lunch one day. The host places them in a line ...
- Math - It takes one man one day to dig a 2m x 2m x 2m hole. How long does it ...
- college physics - a man is traveling at 43 km per hour , a child jumps out in ...
- Math(7th Grade) - The kings of Meggido and Kadesh are preparing to invade Egypt...
- algebra - A man (we'll refer to him as man 1) starts from his home at 8 A.M. and...
- Calculus - A man standing 9 feet from the base of a lamppost casts a shadow 6 ...
- math - a man bought abc stock at $19.65 per share and it at $23.25 per share. ...
- College Math - The number of visitors to your business website increased at a ...
- english - The older you grow the more of it you’ll see. The one place where a ...

More Related Questions