SOLUTION: Aaron is driving to his friend’s place 180 km away. If he can average a speed that is 5 km/h more than his current speed and then triple that, he will arrive in two hours. a

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Question 1191282: Aaron is driving to his friend’s place
180 km away. If he can average a
speed that is 5 km/h more than his
current speed and then triple that,
he will arrive in two hours.
a) Using s for his current speed,
what equation models this
situation?
(b) Determine Aaron's speed
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Aaron is driving to his friend’s place 180km away.
->d=180km
If he can average a speed that is 5%28km%2Fh+%29more than his current speed and then triple+that, he will arrive in two+hours.
let his current speed be x
average a speed that is 5%28km%2Fh%29 more than his current speed will be x%2B5
then triple+that, and we have 3%28x%2B5%29
he will arrive in two hours, t=2h

a) Using s for his current speed,what equation models this situation?
180=3%28x%2B5%29%2A2
180=%283x%2B15%29%2A2

(b) Determine Aaron's speed
180=%283x%2B15%29%2A2......solve for x
90=3x%2B15
3x=90-15
3x=75
x=75%2F3
x=25

Aaron's speed is 25%28km%2Fh%29

Answer by ikleyn(52784) About Me  (Show Source):
You can put this solution on YOUR website!
.

My condolences to that students who obtain such problems from their teachers.

My advise to you is to change the class and the teacher as soon as you can.


Simply RUN from this teacher as fast as you can.