Question

One lap around a track is 1/4 mile. It takes Mr. Morgan 1/12 hour to ride one lap. What is Mr. Morgan’s unit rate, in miles per hour, around the track?

a) 1/3 mph
b) 1/2 mph
c) 1 mph
d) 3 mph

Answer 1

To find Mr. Morgan's unit rate, divide the amount of time it takes for one lap by the length of one lap and multiply by the number of laps in an hour. Mr. Morgan's unit rate around the track is 3 mph.

Step-by-step explanation:

To find Mr. Morgan's unit rate, we need to determine how many miles he can ride in one hour. Since it takes Mr. Morgan 1/12 hour to ride one lap, we can find the number of laps he can complete in one hour by dividing 1 hour by 1/12 hour per lap:

1 hour ÷ (1/12 hour per lap) = 1 hour × (12/1 lap per hour) = 12 laps

So, Mr. Morgan can ride 12 laps in one hour. Since each lap is 1/4 mile, we can find the number of miles he can ride in one hour by multiplying the number of laps by the length of each lap:

12 laps × 1/4 mile per lap = 12 × 1/4 = 3 miles

Therefore, Mr. Morgan's unit rate, in miles per hour, around the track is 3 mph (d).