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Answer :
To find out how long it took Gertrude Ederle to swim across the English Channel, we'll need to follow these steps:
1. Convert the distance from kilometers to meters:
Gertrude swam 37.9 km. Since 1 kilometer is equal to 1000 meters, we convert it to meters.
[tex]\[
37.9 \, \text{km} = 37.9 \times 1000 \, \text{m} = 37900 \, \text{m}
\][/tex]
2. Calculate the time in seconds:
We know her average speed was 0.725 meters per second. To find out the time it took, we use the formula:
[tex]\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\][/tex]
Therefore,
[tex]\[
\text{Time} = \frac{37900 \, \text{m}}{0.725 \, \text{m/s}} = 52275.86 \, \text{seconds}
\][/tex]
3. Convert the time from seconds to hours, minutes, and seconds:
- First, convert the total seconds to hours:
[tex]\[
\text{Hours} = \frac{52275.86}{3600} \approx 14.52 \, \text{hours}
\][/tex]
- To find the remaining minutes, take the fractional part of the hours and convert it to minutes:
[tex]\[
\text{Minutes} = (14.52 \, \text{hours} - 14 \, \text{hours}) \times 60 \approx 31.26 \, \text{minutes}
\][/tex]
- Finally, convert the fractional part of the minutes to seconds:
[tex]\[
\text{Seconds} = (31.26 \, \text{minutes} - 31 \, \text{minutes}) \times 60 \approx 15.86 \, \text{seconds}
\][/tex]
Combining these results, Gertrude Ederle took approximately:
- 14 hours
- 31 minutes
- 15.86 seconds
to swim across the English Channel.
1. Convert the distance from kilometers to meters:
Gertrude swam 37.9 km. Since 1 kilometer is equal to 1000 meters, we convert it to meters.
[tex]\[
37.9 \, \text{km} = 37.9 \times 1000 \, \text{m} = 37900 \, \text{m}
\][/tex]
2. Calculate the time in seconds:
We know her average speed was 0.725 meters per second. To find out the time it took, we use the formula:
[tex]\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\][/tex]
Therefore,
[tex]\[
\text{Time} = \frac{37900 \, \text{m}}{0.725 \, \text{m/s}} = 52275.86 \, \text{seconds}
\][/tex]
3. Convert the time from seconds to hours, minutes, and seconds:
- First, convert the total seconds to hours:
[tex]\[
\text{Hours} = \frac{52275.86}{3600} \approx 14.52 \, \text{hours}
\][/tex]
- To find the remaining minutes, take the fractional part of the hours and convert it to minutes:
[tex]\[
\text{Minutes} = (14.52 \, \text{hours} - 14 \, \text{hours}) \times 60 \approx 31.26 \, \text{minutes}
\][/tex]
- Finally, convert the fractional part of the minutes to seconds:
[tex]\[
\text{Seconds} = (31.26 \, \text{minutes} - 31 \, \text{minutes}) \times 60 \approx 15.86 \, \text{seconds}
\][/tex]
Combining these results, Gertrude Ederle took approximately:
- 14 hours
- 31 minutes
- 15.86 seconds
to swim across the English Channel.
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