Time units | Tutorela

Time units serve the function of quantifying time and have been created in order to organize it productively.
They are like a universal language that allows us to measure time.

Units of time and conversion that are important to know:

In one minute there are $60$ seconds.

In an hour there are $60$ minutes.

In a day there are $24$ hours.

Detailed explanation

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Test yourself on time units!

$$ 3hr=?min $$

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Example of an exercise with time units

How many minutes are there in $8$ hours?

If there are $60$ minutes in an hour, we must multiply the number of hours by $60$ to obtain the equivalent number of minutes.

$8\cdot60=480$

That is, $8$ hours equals $480$ minutes.

Another exercise with time units

How many minutes are $90$ seconds?

In one minute there are $60$ seconds, so we must divide the number of seconds by $60$ to get the number of minutes.

Attention! Unlike the previous exercise, here we must divide by $60$ instead of multiplying.
The data we were given is the number of seconds and we have to find out the minutes.

$1$ minute $=~60$ seconds

$X$ minutes $=~90$ seconds

$x=\frac{90}{60}=\frac{9}{6}=\frac{3}{2}=1.5$

That is, $90$ seconds equals $1.5$ minutes.

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Ejemplos y ejercicios con soluciones de unidades de tiempo

Exercise #1

$3hr=?min$

Video Solution

Step-by-Step Solution

To solve this problem, we will convert the time given in hours to minutes.

Step 1: Recall the conversion rate between hours and minutes: $1 \text{ hour} = 60 \text{ minutes}$ .
Step 2: Multiply the given number of hours by the conversion factor of 60 minutes per hour.

Let's apply these steps:

$3 \text{ hours} \times 60 \text{ minutes per hour} = 180 \text{ minutes}$ .

Therefore, $3 \text{ hours}$ is equivalent to $\textbf{180 minutes}$ .

The answer is choice 1: $180$ .

Answer

$180$

Exercise #2

$15min=?hr$

Video Solution

Step-by-Step Solution

To convert 15 minutes to hours, we will use the conversion factor that 1 hour equals 60 minutes. Our task is to determine how many hours 15 minutes represents.

Step 1: Start with the given number of minutes, which is 15 minutes.
Step 2: Use the conversion formula, which states that the number of hours is equal to the number of minutes divided by 60. This is because there are 60 minutes in one hour.
Step 3: Apply the formula: $\text{hours} = \frac{\text{minutes}}{60} = \frac{15}{60}$
Step 4: Simplify the fraction $\frac{15}{60}$ by dividing the numerator and the denominator by their greatest common divisor, which is 15.
Step 5: Simplify $\frac{15}{60}$ to $\frac{1}{4}$ .

Therefore, 15 minutes is equivalent to $\frac{1}{4}$ hours.

The correct answer is $\frac{1}{4}$ .

Answer

$\frac{1}{4}$

Exercise #3

$2hr=?sec$

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

Step 1: Convert hours to minutes.
Step 2: Convert minutes to seconds.

Now, let's work through each step:

Step 1: Convert 2 hours to minutes. Since there are 60 minutes in an hour, multiply the number of hours by 60:

$2 \text{ hours} \times 60 \text{ minutes/hour} = 120 \text{ minutes}$ .

Step 2: Convert 120 minutes to seconds. Since there are 60 seconds in a minute, multiply the number of minutes by 60:

$120 \text{ minutes} \times 60 \text{ seconds/minute} = 7200 \text{ seconds}$ .

Therefore, the solution to the problem is $\boxed{7200}$ seconds.

Answer

$7200$

Exercise #4

$60min=?hr$

Video Solution

Step-by-Step Solution

To solve this problem, we need to convert minutes to hours. We will use the following method:

First, identify the conversion factor that 1 hour is equal to 60 minutes.
Next, take the total minutes given in the problem, which is 60 minutes, and convert it to hours.
To convert minutes to hours, divide the number of minutes by 60 (since there are 60 minutes in an hour).

Let's work through the calculation:

Step 1: We are given 60 minutes.
Step 2: Use the conversion formula for hours:
$\text{Hours} = \frac{\text{Minutes}}{60}$
Step 3: Plug in the value that we have:
$\text{Hours} = \frac{60 \text{ minutes}}{60} = 1 \text{ hour}$

Thus, when you convert 60 minutes to hours, you get $1 \text{ hour}$ .

Answer

$1$

Exercise #5

$7min=?hr$

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

Step 1: Identify the number of minutes to convert, which is 7 minutes.
Step 2: Use the conversion formula $\text{hours} = \frac{\text{minutes}}{60}$ .
Step 3: Substitute 7 for the number of minutes in the formula to calculate the hours.

Now, let's work through each step:
Step 1: We have 7 minutes.
Step 2: Using the formula $\text{hours} = \frac{\text{minutes}}{60}$ , we substitute the values to get:
Step 3: $\text{hours} = \frac{7}{60}$ .

Therefore, the solution to the problem is $\frac{7}{60}$ hours.

Answer

$\frac{7}{60}$

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Test your knowledge

Question 1

$$ 15min=?hr $$

Question 2

$$ 2hr=?sec $$

Question 3

$$ 60min=?hr $$

Review questions

What are the units of time?

In the case of time, the most common units are measured with a clock and these are seconds (unit in the International System), minutes and hours, although we can also measure it in days, weeks, months, years, centuries, etc.

How do you calculate the seconds in a day?

We know that in a day there are $24$ hours, in an hour there are $60$ minutes and in each minute there are $60$ seconds, so in order to calculate how many seconds there are in a day we would only have to do a multiplication.

First let's see how many seconds there are in an hour. To multiply

$1$ hour

$60\times60=3600$

In an hour there are $3600$ seconds, so now let's multiply by $24$ hours in a day.

$1$ day

$3600\times24=86400$

Therefore in a day there are $86400$ seconds.

How to convert time units?

In order to see how to do time conversions let's look at the following examples, where we will need some time equivalences.

Example 1

Task. Convert $6$ minutes to seconds

Solution

We already know that one minute has $60$ seconds, so let's do a multiplication

$6\times60=360$

Result

$6$ minutes is equal to $360$ seconds.

Example 2

Task. Convert $120$ hours to days.

Solution

A day has $24$ hours so in this case a division will be made.

$\frac{120}{24}=5$

Result

$120$ days equals $5$ days

Do you know what the answer is?

Question 1

$$ 7min=?hr $$

Question 2

$\frac{3}{4}hr=?min$

Question 3

$1\frac{1}{2}hr=?min$

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