Given the constant rate of 6 miles per hour, we can simply multiply the time by the rate to get distance. Remember, 6mph means the runner travels 6 miles every hour. We can formulate an equation to represent this data:
d=r•t
Distance equals rate multiplied by time.
d=6•1
d=6
So, your answer for the first column is 6 miles as our distance equation shows.
For column 2:
d=6•1/2
d=3
3 miles is the distance for the second column
For the 3rd column:
First, let’s convert 1 and 1/3 to a decimal for simpler arithmetic:
1 and 1/3 is equivalent to 1.333 since the runner ran one whole miles and 1/3 of the next.
d=6•1.333
d=7.998
So, the answer to column 3 is 7.998 miles or 8 miles when rounded.
For the 4th column:
We are now given the distance and need to find the time, so we input the values in for the variables:
1.5=6t
We know the runner traveled 1.5 miles at 6 miles per hour. We solve for t now:
1.5/6=t
t=.25 or a quarter of an hour. Remember, a quarter of an hour is 15/60 minutes. So, 15/60 is the answer for column 4.
For column 5:
9=6t
9/6=t
1.5=t
So, 1.5 hours is your answer for column 5.
For column 6:
4.5=6t
4.5/6=t
.75=t
.75 is 75% and 75% of an hour is 45/60 minutes. So, 45/60 minutes is your answer for column 6.
Hope this helps!