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
Koi sense h iss baat ki?
Bas answer nikal dia kese b krke.
kam se kam answer to ache tarike se do ki samajh me aaye
The solution was good but please tell again
How 1500?
To solve this problem, let's break it down step by step:
1. Calculate the total food supply of the garrison initially:
- Given that the garrison has sufficient ratios for 25 days at 2400g per man per day, we can calculate the total food supply using the formula: total food supply = (number of men) × (grams of food per man per day) × (number of days).
- In this case, the number of men is 1200 and the grams of food per man per day is 2400, so the total food supply initially is: 1200 × 2400 × 25 = 72,000,000 grams.
2. Calculate the new total food supply after 300 men join:
- The number of men now becomes 1200 + 300 = 1500.
- Given that the new ratio is 2000g per man per day, we can calculate the new total food supply using the same formula: total food supply = (number of men) × (grams of food per man per day) × (number of days).
- In this case, the number of men is 1500 and the grams of food per man per day is 2000, so the new total food supply is: 1500 × 2000 × x, where x is the unknown number of days.
3. Set up an equation and solve for x:
- Since the total food supply remains the same, we can set up the equation: 72,000,000 = 1500 × 2000 × x.
- Simplifying the equation gives: 72,000,000 = 3,000,000x.
- Dividing both sides by 3,000,000 gives: x = 72,000,000 / 3,000,000 = 24.
Therefore, the road will last all of them for 24 days after the 300 men join.