Question

A full 335 ml can of Coca-Cola is filtered at a rate

of 5 ml per minute into an empty can. How long
will it take for the two cans to have the same
amount, a, of Coca-Cola?
Mm

Answer 1

9514 1404 393

Answer:

33.5 minutes

Explanation:

There are many ways you can look at this problem. One is to write equations for the amount in each can, and solve for the time that makes those amounts equal. Another is to consider how much time it takes to reduce the volume by half.

Using the first method, we have ...

335 -5t = 5t

335 = 10t

335/10 = 33.5 = t

It takes 33.5 minutes for the cans to have the same amount.