3/4 = 0.75
1/2 = 0.5
Student A runs 0.75 miles in 6 minutes. Their speed is
distance/time = 0.75/6 = 0.125 miles per minute
Student B runs 0.5 miles in 5 minutes, so their speed is
distance/time = 0.5/5 = 0.1 miles per minute
Student A has the slightly faster speed.
Answer:
Step-by-step explanation:
Givens
Student A
d = 3/4 mile
t = 6 minutes
Student B
d = 1/2 mile
t = 5 minutes
Note
In both cases, the units are the same, so unit conversion is not necessary.
Solution
Student A
r = d / t
r is the rate of travel in miles / minute
r = 3/4 / 6
r = 3.4 // 6/1 The 1 is put below the 6 so it is easier to divide. Invert the bottom and multiply.
r = 3/4 * 1/6
r = 3/24
r = 1/8 miles / minute
Student B
r = d / t
r = 1/2 // 5 / 1 Turn the bottom fraction upside down and multiply
r = 1/2 * 1/5
r = 1/10
Question
which is bigger: 1/8 or 1/10?
1/8 = 0.125
1/10 = 0.1
1/8 is bigger by 0.025
Answer
Student A is faster by 0.025 miles / minute.
