Say, hypothetically, there were 4 seconds in 1 minute instead of 60 seconds. How many seconds would 24 hours (1 day) be?

Question

Let 1 minute = 4 seconds.

Let 1 hour = 60 minutes.

Let 1 day = 24 Hours.

How many seconds would be in 1 day?

Answer 1

$$\frac{1 \text{ minute}}{4 \text{ seconds}}$$ $$\frac{4 \text{ seconds}}{1 \text{ minute}}*\frac{60 \text{ minutes}}{1 \text{ hour}} = \frac{240 \text{ seconds}}{1 \text{ hour}}$$ $$\frac{240 \text{ seconds}}{1 \text{ hour}} * \frac{24 \text{ hours}}{ 1 \text{ day}} = \frac{5760 \text{ seconds}}{1 \text{ day}}$$

Answer 2

Reasoning from elementary school :

So these new seconds are 15 times longer, hence the number of new seconds in a day is fifteen times less: i.e. $$ \frac{24\times 60\times 60}{15} =\frac{ 8\times 3600}5=5760. $$