A cyclist rode for 3.5 hours and completed a distance of 60.9 miles. If she kept the same average speed for each hour, how far did she ride in 1 hour? Part A Estimate the quotient. Include an equation to show your work. Explain your thinking. (2 points) but make it sound like a 10 year old made it
So, the cyclist rode for 3.5 hours and went for 60.9 miles. If we want to find out how far she rode in 1 hour, we can make a guess. Let's say that she rides the same distance each hour. That means we need to divide the total distance she rode by the total hours she rode.
So, we can guess that she rode about 60.9 divided by 3.5. Let's write it down like this: 60.9 ÷ 3.5 = ?
Now, we need to find the answer. We don't know it exactly, but we can think about it. If we try to divide 60.9 by 3.5, we can see that it's a little tricky.
Let's try to make it easier. We can think of a number close to 3.5 that we know how to divide 60.9 by. How about 3? That's an easy number to divide by.
So, let's see how many times 3 goes into 60.9. Well, 3 can go into 6 two times, and it can go into 0 zero times. But wait, don't forget that little 9. 3 can also go into 9 three times. So, 3 can go into 60.9 twenty-nine times!
Now, we can use this to help us find the answer to our original problem. If 3 goes into 60.9 twenty-nine times, then 3.5 will probably go into 60.9 a little more than twenty-nine times.
So, our estimate for the distance she rode in 1 hour is a little more than 29 miles. That's a pretty good guess for a 10-year-old!