0:00
Hi.
00:02
So this question gives you the men's world record mile time, which is three minutes and 43 .13 .13 seconds.
00:09
And they want you to find at this rate how long it would take to run a 1 ,500 meter race, which is only slightly less than a mile, 109 meters less.
00:17
So to approach this question, what we need to do is convert miles to meters and then just do a simple proportion, right? we're going to do the time it takes to run a mile and meters, i mean, put those over each other, and then equals to.
00:30
To a equals to whatever time over 1 ,500 meters, which is a simple proportion, and then a couple unit conversions, and it's pretty simple.
00:41
So here we, let's convert the miles to meters first.
00:46
So we have 1 mile is 1 ,600 meters, right? meters per mile, so 1 ,600 and 9 meters.
01:05
And then we can set up our proportion, here three minutes and 43 .13 .13 seconds it would be better to convert this into seconds so quickly i'm just going to multiply three by 60 and then add 43 .13 so i can just get in seconds so it'll be 223 .13 seconds for a mile over 1 ,600 meters okay and then we put this over 1500 meters because that's the new when we want to, the new distance we want to calculate for.
01:46
And this is our going to be our rate, and the rate is still going to be the same, but we're just going to have a different amount of time, t.
01:53
So we can solve for t...