Answer:
The answer to your question 4 hours
Step-by-step explanation:
Data
David = 16 mph
Corey = 28 mph
first time = 3 hours
time = ?
Formula
[tex]v = \frac{distance}{time}[/tex]
solve for distance
distance = v x time
Process
1.- Calculate the distance David travelled during 3 hours
distance = 3 x 16 = 48 m
2.- Write equations for the distance travelled by David and Corey
David = 16t + 48
Corey = 28t
3.- Equal both equations
16t + 48 = 28t
4.- Solve for t
16t - 28t = - 48
-12t = -48
t = -48/-12
5.- Result
t = 4 hours
Answer: it will take 7 hours until Corey catches up with David
Step-by-step explanation:
At the time David catches up with Corey, they would have travelled the same distance. Let x represent this distance.
Distance = speed × time
Let t represent the time that David takes to cover x miles. David left the park traveling 16 mph. Therefore,
x = 16 × t = 16t
Then 3 hours later, Corey left traveling the same direction at 28 mph. It means that total time spent by Corey in travelling x miles is t - 3.
Distance travelled by Corey in (t - 3) hours would be
28(t - 3)
Since the distance covered is the same, then
16t = 28t - 84
28- 16t = 84
12t = 84
t = 84/12
t = 7 hours
