Lin ride her bike 20 miles in 15 minutes. If she rode at constant speed what is the unit rate and how do you know ?
One way to solve this problem is by using a proportion. Cross multiply and solve for x.
20/15 = x/1
15x = 20
x = 20/15
x = 1.333 miles per minute
Are you sure your problem has used the right figures? Typical bike-riding speed is about 15 miles per hour or 1/4 mile per minute.
To find the unit rate, we need to determine how much distance Lin covers in one unit of time. In this case, Lin rode her bike 20 miles in 15 minutes.
To find the unit rate, we can set up a proportion:
20 miles / 15 minutes = x miles / 1 minute
Cross-multiplying, we get:
20 miles * 1 minute = 15 minutes * x miles
20 miles = 15x
Dividing both sides by 15, we find:
20 miles / 15 = x
Simplifying this division, we get:
4/3 = x
So, the unit rate is 4/3 miles per minute.
We know this because the unit rate represents the amount of distance covered in one unit of time. In this case, we found that Lin covers 4/3 miles in one minute. Therefore, the unit rate is 4/3 miles per minute.
To find the unit rate, we need to determine the distance Lin can cover in one unit of time. In this case, Lin rode her bike 20 miles in 15 minutes.
To calculate the unit rate, we need to express the time unit in consistent terms, such as hours or minutes. Let's convert the time from minutes to hours. There are 60 minutes in an hour, so 15 minutes is equal to 15/60 or 1/4 of an hour.
Now, we can divide the distance Lin covered (20 miles) by the time it took (1/4 of an hour) to find the unit rate.
20 miles ÷ 1/4 hour = 20 miles × 4/1 hour
= 20 × 4/1
= 80/1
= 80 miles/hour
Therefore, the unit rate at which Lin rode her bike is 80 miles per hour. We know this because we divided the distance by the time to find the rate at which Lin covered the distance.