Math, asked by Harshita300, 3 months ago

A fort had provisions for 450 men for 80 days. After 10 days,50 more men arrived. How long will the remaining food last at the same rate? (Direct and indirect variation)

Answers

Answered by suchita34
3

Answer:

ans is 63 days

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

450

500

=

x

70

⟹x=

500

70×450

⟹x=63

Hence, till 63 days, the remaining food lasts at the same rate.

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