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Question Number 75895 by gugum last updated on 20/Dec/19

$$\mathrm{A}\mathrm{garrison}\mathrm{had}\mathrm{provisions}\mathrm{for}1500\mathrm{men}$$$$\mathrm{for}30\mathrm{days}.\mathrm{After}\mathrm{some}\mathrm{days},300\mathrm{more}$$$$\mathrm{men}\mathrm{joined}\mathrm{the}\mathrm{garrison}.\mathrm{The}\mathrm{provisions}$$$$\mathrm{lasted}\mathrm{for}\mathrm{a}\mathrm{total}\mathrm{of}26\mathrm{days}\mathrm{from}\mathrm{the}$$$$\mathrm{beginning}.\mathrm{After}\mathrm{how}\mathrm{many}\mathrm{days}\mathrm{did}$$$$\mathrm{the}\mathrm{new}\mathrm{men}\mathrm{join}?$$

Answered by mr W last updated on 20/Dec/19

$$totalprovision:1500\times 30=45000man-days$$$$45000-1500\times 26=6000man-days$$$$6000/300=20days$$$$26-20=6days$$$$\Rightarrow thenewmenjoinafter6days.$$

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