A certain quantity of food is sufficient for 20 men for 8 days. How long will the food last if there are 10 men?
Question
A certain quantity of food is sufficient for 20 men for 8 days. How long will the food last if there are 10 men?
Solution
Sure, here is the step by step solution:
Step 1: Identify the given values. The food is sufficient for 20 men for 8 days.
Step 2: Calculate the total man-days the food can provide. This is done by multiplying the number of men by the number of days. So, 20 men * 8 days = 160 man-days.
Step 3: Determine how long the food will last for 10 men. Since the food is sufficient for 160 man-days, and there are 10 men, you divide 160 man-days by 10 men. So, 160 man-days / 10 men = 16 days.
Therefore, the food will last for 16 days if there are 10 men.
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