To find Johan's rate of speed in miles per hour (mph), we can use the formula \( d = rt \). Here, \( d \) is the distance traveled, \( r \) is the rate of speed, and \( t \) is the time traveled.
Given:
- Distance (\( d \)) = 35 miles
- Time (\( t \)) = 1.75 hours
We want to solve for the rate of speed (\( r \)). We can rearrange the formula to find \( r \):
\[ r = \frac{d}{t} \]
Now, substitute the values we have into the formula:
\[ r = \frac{35 \text{ miles}}{1.75 \text{ hours}} \]
Next, we perform the division:
To simplify \( 35 \div 1.75 \):
- You can convert 1.75 to a fraction, which is \( \frac{7}{4} \).
- Then, dividing by a fraction is the same as multiplying by its reciprocal.
Thus:
\[ r = 35 \times \frac{4}{7} \]
Calculating this step-by-step:
- First, divide 35 by 7:
\[ 35 \div 7 = 5 \]
- Then multiply by 4:
\[ 5 \times 4 = 20 \]
So,
\[ r = 20 \text{ mph} \]
Conclusion:
Johan's rate of speed is 20 miles per hour. This means that when Johan bicycles for 1.75 hours, he covers a distance of 35 miles, which indicates a consistent speed throughout his ride. This calculation can help in planning trips, estimating time for future travels, or comparing speeds with other forms of transportation.
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