if a swimmer swims 85.4 yards in five minutes, how many meters will he swim in 70.0 seconds?
85.4yds/300s * 70s. * 1m/1.1yd = 18.1 m.
To determine how many meters the swimmer will swim in 70.0 seconds, we need to convert the given distance of 85.4 yards to meters.
1 yard is equal to 0.9144 meters.
So, to convert yards to meters, we can use the conversion factor:
85.4 yards * 0.9144 meters/yard = 78.09136 meters
Now, we know that the swimmer swam 78.09136 meters in 5 minutes, and we need to find out how many meters he will swim in 70.0 seconds.
To find the distance swum in 70.0 seconds, we can use the ratio:
5 minutes = 300 seconds (since there are 60 seconds in a minute)
78.09136 meters = x meters (the distance swum in 70.0 seconds)
Using the ratio:
78.09136 meters / 300 seconds = x meters / 70.0 seconds
Cross-multiplying and solving for x:
300 * x = 78.09136 * 70.0
x = (78.09136 * 70.0) / 300
x ≈ 18.1416 meters
Therefore, the swimmer will swim approximately 18.1416 meters in 70.0 seconds.
To find out how many meters the swimmer will swim in 70.0 seconds, we can use a conversion factor to convert yards to meters.
The conversion factor is:
1 yard = 0.9144 meters
First, let's calculate the swimmer's speed in yards per second:
Speed = Distance / Time
Given:
Distance = 85.4 yards
Time = 5 minutes = 300 seconds
Speed = 85.4 yards / 300 seconds
Speed ≈ 0.2847 yards per second
Now, let's convert this speed to meters per second using the conversion factor:
Speed in meters per second ≈ 0.2847 yards per second × 0.9144 meters per yard
Speed in meters per second ≈ 0.2603 meters per second
Finally, to find out how many meters the swimmer will swim in 70.0 seconds, we can use the following formula:
Distance = Speed × Time
Distance = 0.2603 meters per second × 70.0 seconds
Distance ≈ 18.22 meters
Therefore, the swimmer will swim approximately 18.22 meters in 70.0 seconds.