To find Johan’s rate of speed, we can use the distance formula, which is given by:
\[ d = rt \]
Where:
- \( d \) is the distance traveled (in miles)
- \( r \) is the rate of speed (in miles per hour)
- \( t \) is the length of time traveled (in hours)
From the problem:
- \( d = 35 \) miles
- \( t = 1.75 \) hours
We need to find \( r \). We can rearrange the formula to solve for \( r \):
\[ r = \frac{d}{t} \]
Now, substituting the values:
\[ r = \frac{35 \text{ miles}}{1.75 \text{ hours}} \]
To perform the division:
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Convert 1.75 hours to a fraction to make calculations clearer: \[ 1.75 = \frac{175}{100} = \frac{7}{4} \]
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Now, we will divide 35 by \( \frac{7}{4} \): \[ r = 35 \div \frac{7}{4} = 35 \times \frac{4}{7} = \frac{140}{7} = 20 \]
So, Johan's rate of speed is:
Johan travels at a rate of 20 miles per hour.