A body in a room cools from $$85$$∘c to $$80$$∘c in $$5$$ minutes. The time taken to cool from $$80$$∘c to $$75$$∘c is

Question

A body in a room cools from $$85$$∘c  to  $$80$$∘c in $$5$$ minutes. The time taken to cool from $$80$$∘c  to  $$75$$∘c is

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θ$$1=85$$∘c    θ$$2=80$$∘cθ$$2=80$$∘c    θ$$3=75$$∘$$ct1=5$$ $$minutest2=$$?θ$$0=constant=temperature$$ of surrounding  from newton law of cooling  dθ$$dt1=-k$$θ$$1+$$θ$$22-$$θ$$0---(1)$$  substitute given values in above equationθ$$1-$$θ$$25=-k85+802-$$θ$$085-805=-k82.52-$$θ$$055=-k41.25-24---(2)$$∵Room temperature is $$24$$°C  second part of question, given values substitute in $$eqn(1)80-75t2=-k80+752-$$θ$$05t2=-k38.75-24---(3)$$  $$eqn(2)$$ ÷$$eqn(3)$$  $$t2=$$ $$5.47mint2is$$ more than $$5$$ minutes

A body in a room cools from $85^{\circ} c$ to $80^{\circ} c$ in 5 minutes. The time taken to cool from $80^{\circ} c$ to $75^{\circ} c$ is

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A body in a room cools from 85∘c to 80∘c in 5 minutes. The time taken to cool from 80∘c to 75∘c is

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A body in a room cools from $85^{\circ} c$ to $80^{\circ} c$ in 5 minutes. The time taken to cool from $80^{\circ} c$ to $75^{\circ} c$ is