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Running Distance Ratio - Math, Class 10 Video Lecture
FAQs on Running Distance Ratio - Math, Class 10 Video Lecture
| 1. What is the running distance ratio? |  |
The running distance ratio refers to the comparison between the distances covered by two or more runners. It is a measure used to understand the relative performance or speed of different runners in a race or training session.
| 2. How is the running distance ratio calculated? | |
To calculate the running distance ratio, you need to divide the distance covered by one runner by the distance covered by another runner. For example, if Runner A covers a distance of 5 kilometers and Runner B covers a distance of 3 kilometers, the running distance ratio would be 5/3 or 1.67.
| 3. Can the running distance ratio be less than 1? | |
Yes, the running distance ratio can be less than 1. It indicates that the first runner covered a shorter distance compared to the second runner. For example, if Runner A covers 3 kilometers and Runner B covers 5 kilometers, the running distance ratio would be 3/5 or 0.6.
| 4. How is the running distance ratio useful in races? | |
The running distance ratio is useful in races as it allows organizers and participants to compare the performance of different runners. It helps in determining the relative speed and efficiency of the participants. Additionally, it can be used to set realistic goals and track improvements over time.
| 5. Can the running distance ratio be used to predict race outcomes? | |
While the running distance ratio provides insights into the relative performance of runners, it may not be solely relied upon to predict race outcomes. Other factors such as training, technique, and race strategies also play a significant role. However, the running distance ratio can be a useful tool in analyzing and understanding the overall performance of runners.
Text Transcript from Video
- [Voiceover] In preparing for a race,
Jill ran half the distance that Sam ran.
So let me write that down.
So let's say J, is the distance Jill ran,
is equal to half the distance.
We'll say S is the distance that Sam ran.
And Sam ran three times the
distance that Aisha ran.
So Sam ran three times the distance,
that we'll use A for the
distance that Aisha ran.
What was the ratio of the distance
that Jill ran to the
distance that Aisha ran?
So let's think about it.
So here, we have how much
Jill ran in terms of S.
So maybe we could write how
much Aisha ran in terms of S.
Then we could find the ratio
and then the S, it should cancel out.
So let's see, over here
if we wanna solve for,
if we wanna write this,
so we have how much
Aisha ran in terms of how much Sam ran,
we can just divide both sides by three.
So you divide both sides by three.
We're left with Aisha ran
1/3 the distance Sam ran.
So if we wanna find the ratio,
the ratio of the distance Jill ran
to the distance Aisha ran.
So it's the ratio J over A.
The ratio J over A.
This is going to be equal to 1/2 S.
That's what J is equal to.
Over 1/3 S.
That's what A is equal to, over 1/3 S.
So it's equal to 1/2 divided by 1/3.
The S is cancel out.
So this is going to be equal to 1/2.
You divide by 1/3, that's the same thing
as multiplying by three over one.
And so, one times three is three.
Two times one is two.
So the ratio is equal to...
So the ratio the distance
that Jill ran to the distance
that Aisha ran is three to two or 3/2.
Jill ran half the distance that Sam ran.
So let me write that down.
So let's say J, is the distance Jill ran,
is equal to half the distance.
We'll say S is the distance that Sam ran.
And Sam ran three times the
distance that Aisha ran.
So Sam ran three times the distance,
that we'll use A for the
distance that Aisha ran.
What was the ratio of the distance
that Jill ran to the
distance that Aisha ran?
So let's think about it.
So here, we have how much
Jill ran in terms of S.
So maybe we could write how
much Aisha ran in terms of S.
Then we could find the ratio
and then the S, it should cancel out.
So let's see, over here
if we wanna solve for,
if we wanna write this,
so we have how much
Aisha ran in terms of how much Sam ran,
we can just divide both sides by three.
So you divide both sides by three.
We're left with Aisha ran
1/3 the distance Sam ran.
So if we wanna find the ratio,
the ratio of the distance Jill ran
to the distance Aisha ran.
So it's the ratio J over A.
The ratio J over A.
This is going to be equal to 1/2 S.
That's what J is equal to.
Over 1/3 S.
That's what A is equal to, over 1/3 S.
So it's equal to 1/2 divided by 1/3.
The S is cancel out.
So this is going to be equal to 1/2.
You divide by 1/3, that's the same thing
as multiplying by three over one.
And so, one times three is three.
Two times one is two.
So the ratio is equal to...
So the ratio the distance
that Jill ran to the distance
that Aisha ran is three to two or 3/2.
About this Video
Oct 14, 2025
Last updated
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