Calculating the Fraction of Time Spent in Goal

Oct 13, 2025 by talynt.org 97 views

Introduction

In this article, we will explore a problem involving a hockey game and calculate the fraction of time spent in goal by a player named Holly. The problem is as follows: A hockey game started at 15:35 and finished at 16:25. Holly spent 17 minutes in goal. We will use this information to calculate the fraction of the game that Holly spent in goal.

Understanding the Problem

To solve this problem, we need to understand the time frame of the hockey game and the time spent by Holly in goal. The game started at 15:35 and finished at 16:25, which means the total duration of the game is 50 minutes. Holly spent 17 minutes in goal.

Calculating the Fraction of Time Spent in Goal

To calculate the fraction of time spent in goal, we need to divide the time spent in goal by the total duration of the game. The formula for this calculation is:

Fraction = (Time spent in goal) / (Total duration of the game)

In this case, the time spent in goal is 17 minutes, and the total duration of the game is 50 minutes. Plugging these values into the formula, we get:

Fraction = 17 / 50

Simplifying the Fraction

The fraction 17/50 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 17 and 50 is 1, which means the fraction cannot be simplified further.

Converting the Fraction to a Decimal

To make the calculation more intuitive, we can convert the fraction to a decimal. To do this, we divide the numerator by the denominator:

17 ÷ 50 = 0.34

Interpreting the Result

The result of the calculation is 0.34, which means that Holly spent 34% of the game in goal.

Conclusion

In this article, we calculated the fraction of time spent in goal by a player named Holly during a hockey game. We used the formula Fraction = (Time spent in goal) / (Total duration of the game) to calculate the fraction and simplified the result to its simplest form. We also converted the fraction to a decimal to make the calculation more intuitive. The result of the calculation is 0.34, which means that Holly spent 34% of the game in goal.

Calculating the Time Spent in Goal as a Percentage of the Game

To calculate the time spent in goal as a percentage of the game, we can multiply the fraction by 100:

(17/50) x 100 = 34%

This means that Holly spent 34% of the game in goal.

Calculating the Time Spent in Goal as a Proportion of the Game

To calculate the time spent in goal as a proportion of the game, we can divide the time spent in goal by the total duration of the game:

(17/50) = 0.34

This means that Holly spent 0.34 of the game in goal.

Calculating the Time Spent in Goal as a Ratio of the Game

To calculate the time spent in goal as a ratio of the game, we can divide the time spent in goal by the total duration of the game:

(17/50) = 17:50

This means that Holly spent 17 minutes in goal out of a total of 50 minutes.

Real-World Applications

This problem has real-world applications in various fields, such as sports, finance, and engineering. For example, in sports, coaches and players need to calculate the time spent in goal to optimize their strategies and improve their performance. In finance, investors need to calculate the time spent in goal to make informed investment decisions. In engineering, designers need to calculate the time spent in goal to optimize the design of systems and processes.

Conclusion

Introduction

In our previous article, we explored a problem involving a hockey game and calculated the fraction of time spent in goal by a player named Holly. In this article, we will answer some frequently asked questions related to the problem.

Q: What is the total duration of the game?

A: The total duration of the game is 50 minutes, from 15:35 to 16:25.

Q: How much time did Holly spend in goal?

A: Holly spent 17 minutes in goal.

Q: What is the fraction of time spent in goal?

A: The fraction of time spent in goal is 17/50.

Q: Can the fraction be simplified?

A: No, the fraction 17/50 cannot be simplified further because the greatest common divisor (GCD) of 17 and 50 is 1.

Q: What is the decimal equivalent of the fraction?

A: The decimal equivalent of the fraction is 0.34.

Q: What percentage of the game did Holly spend in goal?

A: Holly spent 34% of the game in goal.

Q: How can I calculate the time spent in goal as a proportion of the game?

A: To calculate the time spent in goal as a proportion of the game, you can divide the time spent in goal by the total duration of the game: (17/50) = 0.34.

Q: How can I calculate the time spent in goal as a ratio of the game?

A: To calculate the time spent in goal as a ratio of the game, you can divide the time spent in goal by the total duration of the game: (17/50) = 17:50.

Q: What are some real-world applications of this problem?

A: This problem has real-world applications in various fields, such as sports, finance, and engineering. For example, in sports, coaches and players need to calculate the time spent in goal to optimize their strategies and improve their performance. In finance, investors need to calculate the time spent in goal to make informed investment decisions. In engineering, designers need to calculate the time spent in goal to optimize the design of systems and processes.

Q: How can I use this problem to improve my math skills?

A: You can use this problem to improve your math skills by practicing calculations involving fractions, decimals, and percentages. You can also try to solve similar problems with different numbers and scenarios.

Conclusion

In this article, we answered some frequently asked questions related to the problem of calculating the fraction of time spent in goal by a player named Holly during a hockey game. We provided detailed explanations and examples to help readers understand the concepts and calculations involved. We hope this article has been helpful in clarifying any doubts and providing a better understanding of the problem.