SOLUTION: you drive 1500 miles to California. On the way home, you averaged 10 miles per hour less, and the drive took you 5 extra hours. What was your average speed on the way to California

Question 210036: you drive 1500 miles to California. On the way home, you averaged 10 miles per hour less, and the drive took you 5 extra hours. What was your average speed on the way to California?
Found 2 solutions by nyc_function, josmiceli:
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
Your equation:
(x-10)(5x) + 10(x + 5) = 1500
Can you finish now?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Write 2 sets of equations, 1 going and 1 coming back
To California:

And back

given:
mi
mi
mi/hr
hr
---------------------------
Now rewrite equations

and

Substituting

And from above,

Substituting

Rewriting:

Use the quadratic formula

and
(reject the negative answer)
From above:

The average speed driving to California was 60 mi/hr
check answer:

OK

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