Question

How do you convert 9000 seconds to hours?

Answer 1

Hint: We know that 60 seconds make a minute i.e. $60\text{ seconds}=1\text{ minute}$. Use this first and convert the given data into minutes. Further, we know that 60 minutes make an hour i.e. $60\text{ minutes}=1\text{ hour}$. So use this and convert the result into hours to get the final answer.

Complete step-by-step answer:
According to the question, we are asked to convert 9000 second into hours.
To do this, first we’ll convert 9000 seconds into minutes and then in hours.
We already know that 60 seconds make a minute i.e. $60\text{ seconds}=1\text{ minute}$. So we can divide 9000 seconds by 60 to get the number of minutes. Thus we have:
$$\begin{gathered} \Rightarrow 9000\text{ seconds}={\displaystyle \frac{9000}{60}}\text{ minutes} \\ \Rightarrow 9000\text{ seconds}=150\text{ minutes} \end{gathered}$$
Further, we know that 60 minutes make an hour i.e. $60\text{ minutes}=1\text{ hour}$. Thus we can again divide the above result to convert it into hours. From this we’ll get:
$$\begin{gathered} \Rightarrow 9000\text{ seconds}=150\text{ minutes}={\displaystyle \frac{150}{60}}\text{ hours} \\ \Rightarrow 9000\text{ seconds}=2.5\text{ hours} \end{gathered}$$

Therefore 9000 seconds is equivalent to 2.5 hours.

Note:
We also know that 1 hour consists of $60\times 60$ seconds:
$\Rightarrow 1\text{ hour}=60\times 60\text{ seconds}$
So we can also use this result directly instead of doing it in two steps as we did above. The answer will be same:
$$\begin{gathered} \Rightarrow 9000\text{ seconds}={\displaystyle \frac{9000}{60\times 60}}\text{ hours} \\ \Rightarrow 9000\text{ seconds}={\displaystyle \frac{9000}{3600}}\text{ hours} \\ \Rightarrow 9000\text{ seconds}=2.5\text{ hours} \end{gathered}$$
It is also recommended to always keep in mind that there are 3600 seconds in an hour so that we can apply this result in such problems directly without investing much time doing it in steps.