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ML Aggarwal Solutions Class 8 Mathematics Solutions for Direct and Inverse Variation Exercise 9.2 in Chapter 9 - Direct and Inverse Variation
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A fort is provided with food for 80 soldiers to last for 60 days. Find how long would the food last if 20 additional soldiers join after 15 days.
Answer:
Given:
A fort is provided with food for 80 soldiers to last for 60 days.
After 15 days, the food is sufficient for 80 soldiers for (60 – 15) days = 45 days.
After 15 days, 20 additional soldiers join the fort.
So number of soldiers in the fort = 80 + 20 = 100
We know that for 80 soldiers, the food is sufficient for = 45 days
For 1 soldier, the food is sufficient for = (80 × 45) days
∴ For 100 soldiers, the food is sufficient for = (80 × 45)/100 days
= 36 days.
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