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(39838) (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 RETURN y 300 TOTAL 10 600

Time sum equation,

Average speed relation described,

Simplifying the time and speed average equations, system to solve may be

and you can solve this for x and y.