The men\'s world record for swimming 1500.0 m in a long course pool (as of 2007) is 14 min 34.56 s. At this rate, how many seconds would it take to swim 0.450 miles? (1 mi = 1609 m.)
how many meters in 0.45 miles? If that number is N, then it will take
(N/1500)*(14'34.56")
To find the number of seconds it would take to swim 0.450 miles at the rate of the men's world record for swimming 1500.0 m, we need to convert miles to meters.
We know that 1 mile is equal to 1609 meters. So, to convert 0.450 miles to meters, we can multiply it by the conversion factor:
0.450 miles * 1609 meters/mile = 724.05 meters
Now that we have the distance in meters, we can find the time it would take to swim 724.05 meters at the given rate.
The men's world record for swimming 1500.0 m is 14 min 34.56 s, which can be converted to seconds by multiplying the minutes by 60 and adding the seconds:
14 min * 60 s/min = 840 s
34.56 s
Now we need to find the time it would take to swim 724.05 meters using the speed of the world record. We can set up the proportion:
1500 m 724.05 m
------- = ------------
840 s x s
By cross-multiplying and solving for x, we get:
1500 m * x s = 724.05 m * 840 s
1500x = 608142
x = 608142 / 1500
x ≈ 405.428
Therefore, it would take approximately 405.428 seconds to swim 0.450 miles at the rate of the men's world record for swimming 1500.0 m.