Speed and time are example of inverse proportion. (True or False)?
False
Inverse proportion is a mathematical relationship between two variables where an increase in one variable results in a decrease in the other variable, and vice versa. In this case, speed and time are not an example of inverse proportion. Let's explore the relationship between speed and time in detail to understand why.
Relationship between Speed and Time:
Speed and time have a direct relationship, rather than an inverse one. When speed increases, the time taken to cover a certain distance decreases, and when speed decreases, the time taken increases. This relationship can be represented by the formula:
Speed = Distance / Time
Direct Proportion:
In a direct proportion, as one variable increases, the other variable also increases proportionally. When speed increases, the time taken to cover a certain distance decreases. For example, if you travel at a higher speed, you would cover the same distance in less time. Similarly, if you reduce your speed, you would take more time to cover the distance.
Example:
Let's consider an example to illustrate the direct proportion between speed and time. Suppose you are driving a car and need to cover a distance of 100 kilometers. If you travel at a speed of 100 kilometers per hour (km/h), it would take you 1 hour to cover the distance. However, if you increase your speed to 200 km/h, you would cover the same distance in only 0.5 hours or 30 minutes.
Conclusion:
In conclusion, speed and time do not demonstrate an inverse proportion; rather, they have a direct proportion. As speed increases, the time taken to cover a specific distance decreases, and as speed decreases, the time taken increases. Therefore, it is incorrect to consider speed and time as an example of inverse proportion.
Speed and time are example of inverse proportion. (True or False)?
True
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