We know that
speed=distance/time
solve for time
time=distance/speed
in this problem
<span>Marco runs at a rate of 6 miles per hour.
</span><span>Fernando funs at a rate of 7.2 miles per hour
Difference=7.2-6=1.2 miles/hour
so
speed=1.2 miles/hour
distance=0.3 miles
time=?
</span>time=distance/speed-----> 0.3/1.2-----> 0.25 hour-----> 0.25*60=15 minutes
<span>
the answer is
0.25 hour (15 minutes)
Alternative Method
Let
x---------> Fernando's distance when Marco is 0.3 miles apart
</span>Fernando funs at a rate of 7.2 miles per hour
<span>for distance =x
time=x/7.2------> equation 1
</span>Marco runs at a rate of 6 miles per hour.
for distance=x-0.30
time=(x-0.30)/6------> equation 2
equate equation 1 and equation 2
7.2*(x-0.3)=6x-----> 7.2x-2.16=6x
7.2x-6x=2.16------> x=2.16/1.2-------> x=1.8 miles
time=x/7.2-----1.8/7.2=0.25 hour
Form an equation using the information given
-4x - 6x = -20
simplify
-10x = -20
then solve by dividing by -10
x = -20/-10
x = 2
Bottle 1 = $1.92 & 12 ounces
Bottle 2 = $2.40 & 16 ounces
Bottle 1
If 12 ounces costs $1.92, to determine the price of 1 ounce we divide $1.92 by 12.
$1.92 ÷ 12 = $0.16 per ounce for bottle 1.
Bottle 2
If 16 ounces costs $2.40, to determine the price of 1 ounce we divide $2.40 by 16.
$2.40 ÷ 16 = $0.15 per ounce for bottle 2.
Therefore we can determine that Bottle 2 is cheaper per ounce than Bottle 1.
