Problem 48 - Basic College Mathematics

Question

Solve. There are 60 min in \(1 \mathrm{hr}\). How many minutes are there in \(72 \mathrm{hr}\) ?

Step-by-Step Solution

Answer

4320 minutes

Step 1 - Identify the number of minutes in one hour

There are 60 minutes in 1 hour, as given in the problem.

Step 2 - Determine the number of hours to be converted

We need to find out how many minutes are there in 72 hours.

Step 3 - Apply the conversion factor

To convert hours to minutes, multiply the number of hours by the number of minutes in one hour. This can be expressed as:\(72 \text{ hours} \times 60 \text{ minutes/hour} = 4320 \text{ minutes}\)

Step 4 - Calculate the result

Perform the multiplication: \(72 \times 60 = 4320\)

Key Concepts

minutes in an hour

Understanding the relationship between hours and minutes is essential for time conversion.

There are 60 minutes in one hour. This value remains constant.

So, whenever you need to convert hours into minutes, remember that you will use the factor of 60.

For example, think of a regular clock. When the minute hand completes one full circle, it represents 60 minutes, which is one hour.

multiplication

Multiplication is a fundamental arithmetic operation. It helps in scaling numbers.

When converting hours to minutes, we use multiplication because we need to scale the hours by 60 (the number of minutes in each hour).

For instance, if you have 72 hours and you need to convert them into minutes, you multiply 72 by 60, giving you the total number of minutes.

Mathematically, it looks like this: \(72 \text{ hours} \times 60 \text{ minutes/hour} = 4320 \text{ minutes}\)

hours to minutes conversion

Converting hours to minutes is a common task and understanding it can simplify many time-related problems.

To convert, you do the following:

• Identify how many hours you have (e.g., 72 hours).
  
• Know the conversion factor, which is 60 minutes per hour.
  
• Multiply the hours by 60 to find the total minutes.

The formula is: \[ \text{Total Minutes} = \text{Hours} \times 60 \text{ minutes/hour} \]

So for 72 hours, you would calculate: \[ 72 \text{ hours} \times 60 \text{ minutes/hour} = 4320 \text{ minutes} \]