In a race a bicycle travels 3/4 of a mile in 1/4 hour determine the unit rate for the speed in miles per hour

The speed of the bicycle is 3 miles per hour

Step-by-step explanation:

Step 1

Determine the distance covered, and the time the bicycle takes as shown;

distance=3/4 miles

time=1/4 hours

Step 2

Derive the expression for the speed of the bicycle as follows;

S=D/t

where;

S=speed in miles per hour

D=distance traveled in miles

t=time taken in hours

In our case;

D=3/4 miles

t=1/4 hour

replacing;

S = (3/4) : (1/4) = (3/4) * (4/1) = 3 miles per hour

The speed of the bicycle is 3 miles per hour