A fort had provisions for 150 men for 50 days. After 15 days, 25 men left the fort. How long will food last at the same rate for remaining men?
Question
A fort had provisions for 150 men for 50 days. After 15 days, 25 men left the fort. How long will food last at the same rate for remaining men?
Solution
Sure, here's how to solve the problem:
Step 1: Find out how many days' worth of food was consumed in the first 15 days by 150 men. This is done by multiplying the number of men (150) by the number of days (15). The result is 2250 man-days.
Step 2: Subtract the consumed food from the total initial provisions. The initial provisions were for 150 men for 50 days, which is 150*50 = 7500 man-days. Subtract the consumed food (2250 man-days) from this to get the remaining food, which is 7500 - 2250 = 5250 man-days.
Step 3: Calculate how long the remaining food will last for the remaining men. After 15 days, 25 men left the fort, so there are now 150 - 25 = 125 men. Divide the remaining food (5250 man-days) by the number of men (125) to find out how many days the food will last. The result is 5250 / 125 = 42 days.
So, the food will last for 42 more days for the remaining men.
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