Question

A fort had provision of food for 150 men for 85 days. After 15 days, 25 men left the fort. Find the number of days for which the remaining food will last.

• A. 88
• B. 84
• C. 80
• D. 82

Answer 1

Answer:

B. 84

Calculate total food in man-days

$150 \text{ men} \times 85 \text{ days} = 12{,}750 \text{ man-days}$

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Food consumed in first 15 days

$150 \times 15 = 2{,}250 \text{ man-days}$

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Remaining food

$12750 - 2250 = 10500 \text{ man-days}$

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Remaining men

$150 - 25 = 125 \text{ men}$

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Find how long the food will last

$\frac{10{,}500}{125} = 84 \text{ days}$

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The remaining food will last for 84 days.