a fort has provision for 450 men for 80 days.after 10 days 50 more men arrived.how long will the remaining food last at the same rate
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Step-by-step explanation: No. of men at the beginning =450
No. of men arrived after 10 days =50
Total Number of mens after 10 days =450+50=500
Total . of days =80
After 10 days, period =70 days
After 10 days, there will be 500 mens
Let x be the no. of days till which the food remains
∴450:500=70:x
By inverse proportion,
500:450=70:x
⟹ 500/450 =70/x
⟹ x = 70*450/500
⟹ 63
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