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A truck traveling at an average rate of 45 miles per hour leaves a rest stop. Fifteen minutes later a car traveling at an average rate of 60 miles per hour leaves the same rest stop traveling the same route. How long will it take for the car to catch up with the truck?
A. 15 Minutes
B. 45 Minutes
C. 3 Hours
D. 1 Hour 15 minutes

Respuesta :

my answer is D. one hour and 15 minutes
kittylike11

Answer:

D. 1 hour and 15 minutes

Step-by-step explanation:

The truck has a head start of:

45(1/4)=15

_________________

Set a stopwatch of when the car leaves

Let t = Time of stopwatch when the car catches the Truck

Let d = distance the car travels until the car catches the truck

_______________

Truck: equation

d-15=45t

Car: equation

d=60t

_________

By substitution:

60t - 15=45t

15t = 15

t=1

It will take the car 1 hr to reach the truck

____________

So, lets check this answer

d - 15 = 45(1)

d = 60

and,

d =60(1)

d =60

The answer is 1hr and 15 minutes

Hope this helps!!

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