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.

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