Solve The Following Word Problem:Two Fountains In The Yas Marina Musical Water Fountain Shoot Water Into The Air At Regular Intervals. The First Fountain Does So Every 4 Minutes, And The Second Does So Every 3 Minutes. In The First 30 Minutes, How Many
Introduction
The Yas Marina Musical Water Fountain is a breathtaking display of engineering and artistry, featuring two fountains that shoot water into the air at regular intervals. In this article, we will delve into a word problem related to the Yas Marina Musical Water Fountain, where two fountains shoot water into the air at regular intervals. The first fountain does so every 4 minutes, and the second does so every 3 minutes. We will explore how many times each fountain shoots water into the air in the first 30 minutes.
Understanding the Problem
To solve this problem, we need to understand the concept of frequency and time intervals. The first fountain shoots water into the air every 4 minutes, which means it has a frequency of 1/4 or 0.25 times per minute. Similarly, the second fountain shoots water into the air every 3 minutes, which means it has a frequency of 1/3 or 0.33 times per minute.
Calculating the Number of Shots
To calculate the number of shots for each fountain in the first 30 minutes, we can use the formula:
Number of shots = Frequency x Time
For the first fountain, the number of shots is:
Number of shots = 0.25 x 30 = 7.5
Since we cannot have a fraction of a shot, we will round down to the nearest whole number. Therefore, the first fountain shoots water into the air 7 times in the first 30 minutes.
For the second fountain, the number of shots is:
Number of shots = 0.33 x 30 = 9.9
Again, we will round down to the nearest whole number. Therefore, the second fountain shoots water into the air 9 times in the first 30 minutes.
Visualizing the Solution
To visualize the solution, we can create a table to show the number of shots for each fountain in the first 30 minutes.
| Fountain | Frequency | Time | Number of Shots |
|---|---|---|---|
| 1 | 0.25 | 30 | 7 |
| 2 | 0.33 | 30 | 9 |
Conclusion
In this article, we solved a word problem related to the Yas Marina Musical Water Fountain, where two fountains shoot water into the air at regular intervals. We calculated the number of shots for each fountain in the first 30 minutes using the formula: Number of shots = Frequency x Time. We found that the first fountain shoots water into the air 7 times, and the second fountain shoots water into the air 9 times in the first 30 minutes.
Real-World Applications
This word problem has real-world applications in various fields, such as:
- Engineering: Understanding the frequency and time intervals of mechanical systems is crucial in designing and optimizing their performance.
- Physics: The concept of frequency and time intervals is fundamental in understanding the behavior of physical systems, such as oscillations and waves.
- Computer Science: The concept of frequency and time intervals is used in algorithms and data structures, such as scheduling and timing.
Tips and Variations
To make this word problem more challenging, you can try the following variations:
- Change the frequency: Change the frequency of one or both fountains to see how it affects the number of shots.
- Change the time: Change the time interval to see how it affects the number of shots.
- Add more fountains: Add more fountains to the Yas Marina Musical Water Fountain to see how it affects the number of shots.
Frequently Asked Questions
Q: What is the frequency of the first fountain? A: The frequency of the first fountain is 1/4 or 0.25 times per minute.
Q: What is the frequency of the second fountain? A: The frequency of the second fountain is 1/3 or 0.33 times per minute.
Q: How many times does the first fountain shoot water into the air in the first 30 minutes? A: The first fountain shoots water into the air 7 times in the first 30 minutes.
Introduction
In our previous article, we solved a word problem related to the Yas Marina Musical Water Fountain, where two fountains shoot water into the air at regular intervals. We calculated the number of shots for each fountain in the first 30 minutes using the formula: Number of shots = Frequency x Time. In this article, we will answer some frequently asked questions (FAQs) about the Yas Marina Musical Water Fountain word problem.
Q&A
Q: What is the frequency of the first fountain?
A: The frequency of the first fountain is 1/4 or 0.25 times per minute.
Q: What is the frequency of the second fountain?
A: The frequency of the second fountain is 1/3 or 0.33 times per minute.
Q: How many times does the first fountain shoot water into the air in the first 30 minutes?
A: The first fountain shoots water into the air 7 times in the first 30 minutes.
Q: How many times does the second fountain shoot water into the air in the first 30 minutes?
A: The second fountain shoots water into the air 9 times in the first 30 minutes.
Q: What is the formula to calculate the number of shots?
A: The formula to calculate the number of shots is: Number of shots = Frequency x Time.
Q: Can we use this formula to calculate the number of shots for any fountain?
A: Yes, we can use this formula to calculate the number of shots for any fountain, as long as we know its frequency and the time interval.
Q: What if the frequency is not a simple fraction?
A: If the frequency is not a simple fraction, we can still use the formula to calculate the number of shots. We just need to convert the frequency to a decimal or a fraction.
Q: Can we use this formula to calculate the number of shots for multiple fountains?
A: Yes, we can use this formula to calculate the number of shots for multiple fountains. We just need to add up the number of shots for each fountain.
Q: What if the time interval is not 30 minutes?
A: If the time interval is not 30 minutes, we can still use the formula to calculate the number of shots. We just need to change the time interval in the formula.
Q: Can we use this formula to calculate the number of shots for any time interval?
A: Yes, we can use this formula to calculate the number of shots for any time interval, as long as we know the frequency and the time interval.
Conclusion
In this article, we answered some frequently asked questions (FAQs) about the Yas Marina Musical Water Fountain word problem. We hope this article has helped to clarify any doubts you may have had about the problem. If you have any more questions, feel free to ask!
Real-World Applications
This word problem has real-world applications in various fields, such as:
- Engineering: Understanding the frequency and time intervals of mechanical systems is crucial in designing and optimizing their performance.
- Physics: The concept of frequency and time intervals is fundamental in understanding the behavior of physical systems, such as oscillations and waves.
- Computer Science: The concept of frequency and time intervals is used in algorithms and data structures, such as scheduling and timing.
Tips and Variations
To make this word problem more challenging, you can try the following variations:
- Change the frequency: Change the frequency of one or both fountains to see how it affects the number of shots.
- Change the time: Change the time interval to see how it affects the number of shots.
- Add more fountains: Add more fountains to the Yas Marina Musical Water Fountain to see how it affects the number of shots.
Introduction
In our previous article, we solved a word problem related to the Yas Marina Musical Water Fountain, where two fountains shoot water into the air at regular intervals. We calculated the number of shots for each fountain in the first 30 minutes using the formula: Number of shots = Frequency x Time. In this article, we will answer some frequently asked questions (FAQs) about the Yas Marina Musical Water Fountain word problem.
Q&A
Q: What is the frequency of the first fountain?
A: The frequency of the first fountain is 1/4 or 0.25 times per minute.
Q: What is the frequency of the second fountain?
A: The frequency of the second fountain is 1/3 or 0.33 times per minute.
Q: How many times does the first fountain shoot water into the air in the first 30 minutes?
A: The first fountain shoots water into the air 7 times in the first 30 minutes.
Q: How many times does the second fountain shoot water into the air in the first 30 minutes?
A: The second fountain shoots water into the air 9 times in the first 30 minutes.
Q: What is the formula to calculate the number of shots?
A: The formula to calculate the number of shots is: Number of shots = Frequency x Time.
Q: Can we use this formula to calculate the number of shots for any fountain?
A: Yes, we can use this formula to calculate the number of shots for any fountain, as long as we know its frequency and the time interval.
Q: What if the frequency is not a simple fraction?
A: If the frequency is not a simple fraction, we can still use the formula to calculate the number of shots. We just need to convert the frequency to a decimal or a fraction.
Q: Can we use this formula to calculate the number of shots for multiple fountains?
A: Yes, we can use this formula to calculate the number of shots for multiple fountains. We just need to add up the number of shots for each fountain.
Q: What if the time interval is not 30 minutes?
A: If the time interval is not 30 minutes, we can still use the formula to calculate the number of shots. We just need to change the time interval in the formula.
Q: Can we use this formula to calculate the number of shots for any time interval?
A: Yes, we can use this formula to calculate the number of shots for any time interval, as long as we know the frequency and the time interval.
Conclusion
In this article, we answered some frequently asked questions (FAQs) about the Yas Marina Musical Water Fountain word problem. We hope this article has helped to clarify any doubts you may have had about the problem. If you have any more questions, feel free to ask!
Real-World Applications
This word problem has real-world applications in various fields, such as:
- Engineering: Understanding the frequency and time intervals of mechanical systems is crucial in designing and optimizing their performance.
- Physics: The concept of frequency and time intervals is fundamental in understanding the behavior of physical systems, such as oscillations and waves.
- Computer Science: The concept of frequency and time intervals is used in algorithms and data structures, such as scheduling and timing.
Tips and Variations
To make this word problem more challenging, you can try the following variations:
- Change the frequency: Change the frequency of one or both fountains to see how it affects the number of shots.
- Change the time: Change the time interval to see how it affects the number of shots.
- Add more fountains: Add more fountains to the Yas Marina Musical Water Fountain to see how it affects the number of shots.