In 1926, Johnny Weissmuller set the men’s world 400.0-m swimming record in 4.00 min, 57.0 s. In 1966, Martha Randall set the women’s record in 4.00 min, 38.0 s. By how many meters would Martha have been beaten Johnny if they had raced each other?
Johnny:
T1 = 4 min,57s = 240+57 = 297 s.
Martha:
T2 = 4 min,38s = 240+38 = 278 s.
r2 = 400m/278s. = 1.439 m/s.
d = r2*(T1-T2) = 1.439(297-278)=27.3 m.
Well, we can calculate the difference in time between Johnny and Martha and then use that to determine how many meters Martha would have beaten Johnny if they raced each other. So, here we go:
Johnny's time: 4.00 min, 57.0 s
Martha's time: 4.00 min, 38.0 s
To find the difference, we can subtract Martha's time from Johnny's time. However, to do that, we should convert the time into a consistent unit, like seconds:
Johnny's time: 4 * 60 + 57 = 297 seconds
Martha's time: 4 * 60 + 38 = 278 seconds
Now we can find the difference in time:
297 seconds - 278 seconds = 19 seconds
Okay, now let's calculate how many meters Martha would have beaten Johnny by considering the average swimming speed:
Let's assume the average swimming speed is 2 meters per second (I'm just making this up, but humor me). To find the distance Martha would have beaten Johnny, we can multiply the time difference (19 seconds) by the average swimming speed (2 meters/second):
19 seconds * 2 meters/second = 38 meters
So, based on my completely made-up average swimming speed of 2 meters per second, if Johnny and Martha had raced each other, Martha would have beaten Johnny by 38 meters.
I hope my funny calculations entertained you!
To determine the difference in meters between Johnny Weissmuller and Martha Randall's records, we need to calculate the time difference and then convert it into meters.
First, let's convert the time into seconds for both swimmers:
Johnny Weissmuller -> 4.00 min + 57.0 s = 4 min * 60 s/min + 57.0 s = 240 s + 57.0 s = 297.0 s
Martha Randall -> 4.00 min + 38.0 s = 4 min * 60 s/min + 38.0 s = 240 s + 38.0 s = 278.0 s
Next, we find the time difference:
Time difference = Johnny Weissmuller's time - Martha Randall's time
Time difference = 297.0 s - 278.0 s = 19.0 s
Finally, let's calculate the distance difference:
Distance difference = Speed difference * Time difference
Since both swimmers raced for the same time (4 minutes), we can calculate the speed using the formula: Speed = Distance / Time
Johnny Weissmuller's speed = 400.0 m / 297.0 s = 1.35 m/s
Martha Randall's speed = 400.0 m / 278.0 s = 1.44 m/s
Speed difference = Johnny's speed - Martha's speed = 1.35 m/s - 1.44 m/s = -0.09 m/s
Now, we can calculate the distance difference:
Distance difference = Speed difference * Time difference = -0.09 m/s * 19.0 s = -1.71 meters
Based on the calculations, Martha Randall would have beaten Johnny Weissmuller by 1.71 meters if they had raced against each other.
To determine the difference in distance, we need to find the time difference between Johnny Weissmuller's record time and Martha Randall's record time.
Johnny Weissmuller's record time is 4 minutes and 57 seconds, which can be converted to seconds by multiplying the minutes by 60 and adding to the seconds: 4 minutes * 60 seconds/minute + 57 seconds = 240 seconds + 57 seconds = 297 seconds.
Martha Randall's record time is 4 minutes and 38 seconds, which can be converted to seconds in the same way: 4 minutes * 60 seconds/minute + 38 seconds = 240 seconds + 38 seconds = 278 seconds.
To find the time difference, we subtract Martha's time from Johnny's time: 297 seconds - 278 seconds = 19 seconds.
Now, we can calculate the distance difference. Since both records were set in the 400.0-m swimming event, the swimmers covered the same distance. However, since Johnny finished 19 seconds ahead of Martha, we need to calculate how much distance Martha could cover in 19 seconds.
To do this, we need to know the speed at which each swimmer covered the distance. Let's assume they maintained a constant speed throughout the race.
To find the speed, we divide the distance by the time: speed = distance / time.
For Johnny Weissmuller:
speed = 400 meters / 297 seconds ≈ 1.35 meters/second (rounded to two decimal places)
For Martha Randall:
speed = 400 meters / 278 seconds ≈ 1.44 meters/second (rounded to two decimal places)
Now, we can find the distance Martha would have covered in 19 seconds:
distance = speed * time = 1.44 meters/second * 19 seconds ≈ 27.36 meters (rounded to two decimal places).
Therefore, if Johnny Weissmuller and Martha Randall had raced each other, Martha would have been beaten by approximately 27.36 meters.