SOLUTION: Carl and Brad are both driving to a frisbee game from Carl's house. Brad gets to the field first in _____ hours. His average speed while driving was 52.3 mph. Carl took 40 minut

Question 481641: Carl and Brad are both driving to a frisbee game from Carl's house. Brad gets to the field first in _____ hours. His average speed while driving was 52.3 mph. Carl took 40 minutes longer and had an averale speed of 46.7 mph. How long did it take Carl to get to the field?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Carl and Brad are both driving to a frisbee game from Carl's house.
Brad gets to the field first in x hours. His average speed while driving was 52.3 mph.
Brad DATA:
time = x hrs ; rate = 52.3 mph ; distance = 52.3x miles
---------------------------------
Carl took 40 minutes longer and had an average speed of 46.7 mph.
time = x+(2/3) hrs ;rate = 46.7 mph ; distance = 46.7(x+(2/3)) miles
---------------------------------
How long did it take Carl to get to the field?
Equation:
distance = distance
52.3x = 46.7x + 46.7(2/3)
---
5.6x = 46.7(2/3)
x = 5.56 hrs
---
Carl's time: 5.56 + (2/3) = 6.23 hrs = 6 hrs and 14 minutes
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Cheers,
Stan H.
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