Churchill and Roosevelt are having tea Churchill adds milk t

Churchill and Roosevelt are having tea. Churchill adds milk to his tea, then waits, while Roosevelt waits, then adds milk to his tea.

1. Who drinks the colder tea?

2. Explain why in one sentence.

3. This phenomenon can be described mathematically. Derive the equation and state its name.

Solution

1. Churchill drinks colder tea

2. Churchill adds milk to his tea twice and, inbetween , waits while Roosevelt waits so that his tea is colder than that of Roosevelt..

3. Let t₀ be the initial temperature of the tea.let the tea get coder by t degrees per minute and let t₁be the final temperature of Churchill\'s tea. Then assuming that

i. The temperature of milk is the same as that of the tea;

ii. The waiting time by Churchill and Roosevelt is x minutes; and

ii. The time taken by Churchill in adding milk to his tea is y and z minutes the 1st and the 2nd time respectively

We have t₁ = t₀ - yt- xt- zt or, t₁ = t₀ - (x + y + z)t