Time Units Practice Problems: Convert Minutes, Hours, Days

Master time unit conversions with step-by-step practice problems. Learn to convert seconds to minutes, hours to days, and solve real-world time problems efficiently.

📚What You'll Master in Time Units Practice
  • Convert seconds to minutes using division by 60
  • Transform hours into minutes by multiplying by 60
  • Calculate days from hours using 24-hour conversion
  • Apply time unit conversions to real-world scenarios
  • Solve multi-step time problems with confidence
  • Master the relationship between seconds, minutes, hours, and days

Understanding Time Units

Complete explanation with examples

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:

A1 - Time units

In one minute there are 60 60 seconds.

In an hour there are 60 60 minutes.

In a day there are 24 24 hours.

Detailed explanation

Practice Time Units

Test your knowledge with 2 quizzes

\( 5min=?hr \)

Examples with solutions for Time Units

Step-by-step solutions included
Exercise #1

3hr=?min 3hr=?min

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

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

The answer is choice 1: 180 180 .

Answer:

180 180

Video Solution
Exercise #2

15min=?hr 15min=?hr

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: hours=minutes60=1560 \text{hours} = \frac{\text{minutes}}{60} = \frac{15}{60}
  • Step 4: Simplify the fraction 1560\frac{15}{60} by dividing the numerator and the denominator by their greatest common divisor, which is 15.
  • Step 5: Simplify 1560\frac{15}{60} to 14\frac{1}{4}.

Therefore, 15 minutes is equivalent to 14\frac{1}{4} hours.

The correct answer is 14 \frac{1}{4} .

Answer:

14 \frac{1}{4}

Video Solution
Exercise #3

2hr=?sec 2hr=?sec

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 hours×60 minutes/hour=120 minutes2 \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 minutes×60 seconds/minute=7200 seconds120 \text{ minutes} \times 60 \text{ seconds/minute} = 7200 \text{ seconds}.

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

Answer:

7200 7200

Video Solution
Exercise #4

60min=?hr 60min=?hr

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:
Hours=Minutes60\text{Hours} = \frac{\text{Minutes}}{60}
Step 3: Plug in the value that we have:
Hours=60 minutes60=1 hour\text{Hours} = \frac{60 \text{ minutes}}{60} = 1 \text{ hour}

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

Answer:

1 1

Video Solution
Exercise #5

7min=?hr 7min=?hr

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 hours=minutes60 \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 hours=minutes60 \text{hours} = \frac{\text{minutes}}{60} , we substitute the values to get:
Step 3: hours=760 \text{hours} = \frac{7}{60} .

Therefore, the solution to the problem is 760 \frac{7}{60} hours.

Answer:

760 \frac{7}{60}

Video Solution

Frequently Asked Questions

How do you convert hours to minutes step by step?

+
To convert hours to minutes, multiply the number of hours by 60. For example, 8 hours × 60 = 480 minutes. This works because there are exactly 60 minutes in every hour.

What is the easiest way to convert seconds to minutes?

+
Divide the number of seconds by 60 to get minutes. For instance, 90 seconds ÷ 60 = 1.5 minutes. Remember: when converting from smaller units to larger units, you divide.

How many seconds are in a day calculation?

+
To find seconds in a day: 1) Calculate seconds in an hour: 60 minutes × 60 seconds = 3,600 seconds. 2) Multiply by 24 hours: 3,600 × 24 = 86,400 seconds in one day.

When do you multiply vs divide in time conversions?

+
Multiply when converting from larger to smaller units (hours to minutes). Divide when converting from smaller to larger units (seconds to minutes). Think: bigger to smaller = multiply, smaller to bigger = divide.

What are the basic time unit conversion formulas?

+
Key formulas: • 1 minute = 60 seconds • 1 hour = 60 minutes • 1 day = 24 hours • 1 hour = 3,600 seconds • 1 day = 1,440 minutes • 1 day = 86,400 seconds

How do you solve time word problems effectively?

+
Follow these steps: 1) Identify what units you're given and what you need to find. 2) Choose the correct conversion factor. 3) Decide whether to multiply or divide. 4) Calculate and check if your answer makes sense.

What are common mistakes in time unit conversions?

+
Common errors include: mixing up multiplication and division, forgetting that 1 hour = 60 minutes (not 100), and not converting all units to the same type before calculating. Always double-check your conversion direction.

How do you convert mixed time units like 2 hours 30 minutes?

+
Convert each part separately, then add: 2 hours = 2 × 60 = 120 minutes, plus 30 minutes = 150 total minutes. Or convert to hours: 30 minutes = 0.5 hours, so 2.5 hours total.

Continue Your Math Journey

Topics Learned in Later Sections

Practice by Question Type