# A farmer has enough food to feed 40 animals in his cattle for 4 days. How long would the food last if there were 10 more animals in his cattle?

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by Naiomi

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by Naiomi

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40 cattle can feed for 4 days

if there were 10 more cattle, number of cattle = 40+10 = 50

let number of days they can feed = x

(note: since number of days the cattle can feed is inversely proportional to the number of cattle,

no. of cattle × no. of days = constant

⇒ 40×4 = 50×x

⇒ 50x = 160

⇒ x = 160/50 = 3.2 days

His food would last for 3.2 days if he had 10 more cattle.

if there were 10 more cattle, number of cattle = 40+10 = 50

let number of days they can feed = x

(note: since number of days the cattle can feed is inversely proportional to the number of cattle,

no. of cattle × no. of days = constant

⇒ 40×4 = 50×x

⇒ 50x = 160

⇒ x = 160/50 = 3.2 days

His food would last for 3.2 days if he had 10 more cattle.