Math Problem Statement

Perlu waktu kurang dari 15 menit untuk berlari 3.600 m dengan kecepatan x meter per menit.

Solution

The image contains a mathematical problem in Indonesian:

"Perlu waktu kurang dari 15 menit untuk berlari 3.600 m dengan kecepatan x meter per menit."

This translates to: "It requires less than 15 minutes to run 3,600 meters at a speed of x meters per minute."

To solve or express this problem:

We are given:

  • Distance: d=3600d = 3600 meters
  • Time constraint: t<15t < 15 minutes
  • Speed: xx meters per minute

The basic formula for time, given distance and speed, is:

t=dxt = \frac{d}{x}

Now, applying the time constraint:

3600x<15\frac{3600}{x} < 15

Solving for xx:

3600<15x3600 < 15x

x>360015=240x > \frac{3600}{15} = 240

Thus, the speed xx must be greater than 240 meters per minute.

Would you like more details or have any questions? Here are some related questions:

  1. What happens if the distance is different, say 5,000 meters?
  2. How does the required speed change if the time limit is 10 minutes?
  3. What if the speed is fixed at 300 meters per minute? How much time will it take to cover 3,600 meters?
  4. How do you derive a formula for speed if time and distance are given?
  5. What is the relationship between time, speed, and distance in other units, like kilometers per hour?

Tip: When dealing with distance, time, and speed problems, always remember the basic formula: t=dst = \frac{d}{s}, and adjust it based on the given constraints.

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Math Problem Analysis

Mathematical Concepts

Algebra
Speed-Time-Distance Relationships

Formulas

t = d / x
3600 / x < 15

Theorems

Time-Speed-Distance Relationship

Suitable Grade Level

Grades 7-9