A fort is provided enough food for 150 soldiers for 60 days. After 12 days, 30 more
soldiers join the fort. For how long the remaining food will last?
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Answer:
Total period = 60 days
After 15 days this period will be = 60 - 15
= 45 days
Number of soldiers in the beginning = 80
Number of soldiers join = 20
New number of soldiers = 80 + 20
= 100 Soldiers.
Number of Soldiers Days
80 45
100 x
More men, the food will last lesser days.
This is an inverse proportion.
80 : 100 : : 45 : x
x = (80*45)/100
x = 36 days
15 days has already gone, so, the food will last for 15 + 36 = 51 days instead of 60 days.
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