Question

A cyclist rode for 3.5 hours and completed a distance of 60.9 miles. If she kept the same average speedfor each hour, how far did she ride in 1 hour?Part AEstimate the quotient. Include an equation to show your work. Explain your thinking.Math symbols+.808(.)O=<>+$?Part BFind the exact distance she rode in 1 hour by completing the division Enter the answer in the box10 of 14 Answered

Answer 1

We know that the cyclist rode for 3.5 hours and completed a distance of 60.9 miles.

We can estimate the average speed as the quotient between the distance and the time:

$\bar{v}=\frac{d}{t}=\frac{60.9\text{ miles}}{3.5\text{ hours}}$

We have now to estimate the distance she will ride in one hour.

We can estimate the average speed as:

$\frac{60.9}{3.5}\approx\frac{60\cdot2}{3.5\cdot2}=\frac{120}{7}\approx17$

She will ride 17 miles in an hour.

If we solve the quotient 60.9 / 3.5 with a calculator, we get 17.4 miles per hour.

Answer:

a) We can estimate that she will ride 17 miles in an hour.

b) 17.4 miles per hour.