To find out how far the cyclist rode in 1 hour, we need to calculate her average speed. We can do this by dividing the total distance she rode by the total time she rode.
Equation: \[ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} \] Inserting the values we have: \[ \text{Average Speed} = \frac{60.9 \text{ miles}}{3.5 \text{ hours}} \]
Now, let’s calculate this value. We can estimate the quotient by simplifying the values.
First, we can round the numbers to make the division easier:
- \(60.9\) can be rounded to \(61\)
- \(3.5\) can be approximately \(3.5\) for more precise calculations but can be thought of as \(3.5\) being close to \(3\) for simpler estimating.
- If we divide \(61\) by \(3.5\), let's convert \(3.5\) to a whole number for ease:
- \(3.5 = \frac{7}{2}\), which means we can multiply \(61\) by \(2\) to make the denominator a whole number. \[ 61 \div 3.5 = 61 \times \frac{2}{2 \div 1} = \frac{122}{7} \]
Next, we estimate \(122 \div 7\):
- \(7\) goes into \(12\) once, subtracting gives \(5\), bringing down the \(2\) gives \(52\).
- \(7\) goes into \(52\) seven times (since \(7 \times 7 = 49\)), subtracting gives \(3\), bringing down leads to \(30\).
- \(7\) goes into \(30\) four times (since \(7 \times 4 = 28\)), leaving us with \(2\).
So, \(122 \div 7\) is approximately \(17.43\).
Thus, the estimated average speed (distance per hour) is approximately \(17.43\) miles per hour.
Final thought: The cyclist rode about \(17.43\) miles in 1 hour. To summarize:
- We first calculated the average speed from the total distance and total time, dividing roughly \(60.9\) by \(3.5\).
- We then simplified for easier division resulting in an estimation of approximately \(17.43\) miles per hour.