Matt walked 3 miles in 3/4 of an hour. At what rate of speed did he walk in miles per hour?
3/(3/4) = 1/x
Cross multiply and solve for x.
3 miles in 3/4 an hour mean 3/4 is 45 minutes
so 15 minutes is 1 mile , and then 1 hour is 4 miles
can i just use 3/0.75 = 4 miles
To find Matt's speed in miles per hour, you need to divide the distance he walked by the time it took.
Distance = 3 miles
Time = 3/4 hour
Speed = Distance / Time
Speed = 3 miles / (3/4) hour
To divide by a fraction, multiply by its reciprocal:
Speed = 3 miles * (4/3) hour
Multiply the numerator and denominator:
Speed = (3 * 4) miles / (1 * 3) hour
Simplify:
Speed = 12 miles / 3 hours
Speed = 4 miles per hour
So, Matt walked at a rate of 4 miles per hour.
To find the rate of speed at which Matt walked in miles per hour, we need to divide the distance he walked by the time it took him. The distance Matt walked is 3 miles and the time it took him is 3/4 of an hour.
To perform the division, we divide the distance (3 miles) by the time (3/4 of an hour):
3 miles ÷ (3/4) hour
When we divide a number by a fraction, we can multiply the number by the reciprocal of the fraction. The reciprocal of 3/4 is 4/3. So, we can rewrite the division as:
3 miles × (4/3) hour
Now, we can simplify the expression:
3 miles × 4/3 hour = (3 × 4) miles / (3 × 1) hour = 12 miles / 3 hour
The result is 12 miles per 3 hours. To express it in miles per hour, we need to divide the miles by the hours:
12 miles / 3 hours = 4 miles per hour
Therefore, Matt walked at a rate of 4 miles per hour.