SOLUTION: One morning, Justin drove 3 hours before stopping to eat lunch at Chick-fil-A. After lunch, he increased his speed by 10 mph. If he completed a 450-mile trip in 8 hours of driving

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: One morning, Justin drove 3 hours before stopping to eat lunch at Chick-fil-A. After lunch, he increased his speed by 10 mph. If he completed a 450-mile trip in 8 hours of driving       Log On


   



Question 1174116: One morning, Justin drove 3 hours before stopping to eat lunch at Chick-fil-A. After lunch, he increased his speed by 10 mph. If he completed a 450-mile trip in 8 hours of driving time, how fast did he drive in the morning?
Found 3 solutions by ikleyn, ewatrrr, MathTherapy:
Answer by ikleyn(52812) About Me  (Show Source):
You can put this solution on YOUR website!
.

Is the 450-mile route the total or partial distance ?

Is 8-hour driving time the total driving time or only partial time ?


Had the problem be formulated correctly, these questions would not occur.




Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,

Justin drove 3 hours before stopping & then increased his speed by 10 mph
he completed a 450-mile trip in 8 hours of driving time
 how fast did he drive in the morning?

Let x be the morning speed.  D = rt

 3x + 5(x+10) = 450mi

  8x - 400mi

   x = 50 mi/hr was Justin's morning speed

Wish You the Best in your Studies.


Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

One morning, Justin drove 3 hours before stopping to eat lunch at Chick-fil-A. After lunch, he increased his speed by 10 mph. If he completed a 450-mile trip in 8 hours of driving time, how fast did he drive in the morning?
Let speed in the morning be S
Then speed after lunch = S + 10
We then get the following DISTANCE equation: 3S + 5(S + 10) = 450
3S + 5S + 50 = 450
8S = 400
Speed in the morning or highlight_green%28matrix%281%2C6%2C+S%2C+%22=%22%2C+400%2F8%2C+%22=%22%2C+50%2C+mph%29%29