SOLUTION: 5. A driver averaged 60 miles per hour on a road trip from Santa Cruz to Los Angeles which is nearly 300 miles away. The average speed for going was x and the average speed f

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Question 1122147:
5. A driver averaged 60 miles per hour on a road trip from Santa Cruz to Los Angeles which is nearly 300 miles away.
The average speed for going was x and the average speed for returning was y. (Hint: a 600 mile trip averaging 60 miles per hour means 10 total hours)
a. Using Distance/Rate=Time formula, show that y = 30x/(x - 30)
b. Complete the following table using the function above.
Table: https://imgur.com/SGP6LXR
c. What do you notice about the values in the table? Does it make sense in the context of this problem?
d. Identify any asymptotes and graph the function.

Answer by josgarithmetic(39628) About Me  (Show Source):
You can put this solution on YOUR website!
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A driver averaged 60 miles per hour on a road trip from Santa Cruz to Los Angeles which is nearly 300 miles away.
The average speed for going was x and the average speed for returning was y. (Hint: a 600 mile trip averaging 60 miles per hour means 10 total hours)
a. Using Distance/Rate=Time formula, show that y = 30x/(x - 30)
...
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               SPEED          TIME        DISTANCE

GOING          x              300%2Fx         300

RETURN         y             300%2Fy          300

TOTAL                         10               600


Time sum equation, 300%2Fx%2B300%2Fy=10

Average speed relation described, %28x%2By%29%2F2=60

Simplifying the time and speed average equations, system to solve may be
system%2830%2Fx%2B30%2Fy=1%2Cx%2By=120%29

and you can solve this for x and y.