Math Problem Statement

There is two hour block. In the first 15 minutes a band is warming up their instruments. After the 15 minutes of warming up, the band has their 1st practice session which is 32 minutes and 49 seconds long. After the 1st session they take a twenty minute break. How much time is left in this two hour block?

Solution

To find out how much time is left in the two-hour block after the band's activities, we'll need to calculate the total time spent and then subtract it from the total available time (2 hours).

Step-by-step calculation:

  1. Total time available:
    2 hours=2×60=120 minutes2 \text{ hours} = 2 \times 60 = 120 \text{ minutes}

  2. Time spent warming up:
    15 minutes15 \text{ minutes}

  3. Time spent in the first practice session:
    32 minutes+4960 minutes32.82 minutes32 \text{ minutes} + \frac{49}{60} \text{ minutes} \approx 32.82 \text{ minutes}

  4. Time spent on the break:
    20 minutes20 \text{ minutes}

Now, we sum up all the time spent:

Total time spent=15+32.82+20=67.82 minutes\text{Total time spent} = 15 + 32.82 + 20 = 67.82 \text{ minutes}

  1. Calculate the remaining time:

Remaining time=12067.82=52.18 minutes\text{Remaining time} = 120 - 67.82 = 52.18 \text{ minutes}

So, 52 minutes and 11 seconds (approximately) are left in the two-hour block.

Would you like more details or have any other questions?

Follow-up Questions:

  1. Do you need help converting between time formats (minutes, seconds, hours)?
  2. Would you like to know how to handle more complex time calculations?
  3. Are there any additional activities the band is planning that you'd like to account for?
  4. Are you interested in learning more about converting decimal minutes to minutes and seconds?
  5. Do you need clarification on any of the steps in the calculation?

Tip: When dealing with time, it's important to consistently convert all units (seconds, minutes, hours) to ensure accurate calculations.

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Math Problem Analysis

Mathematical Concepts

Time calculation
Addition and subtraction of time durations

Formulas

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Theorems

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Suitable Grade Level

Grades 5-6