SOLUTION: A family drove to Las Vegas at an average speed of 65mph and returned via the same route at a speed of 70mph. Find the time it took to drive to Las Vegas if the total time was 27 h

Question 808700: A family drove to Las Vegas at an average speed of 65mph and returned via the same route at a speed of 70mph. Find the time it took to drive to Las Vegas if the total time was 27 hours.
Answer by josgarithmetic(39614) (Show Source): You can put this solution on YOUR website!
_________speed__________________time_________________distance
_________65_____________________x____________________65x
_________70_____________________y____________________70y
Total___________________________27___________________65x+70y

You want one variable, not two.
x+y=27 so maybe, y=27-x. Try this instead of "y".

_________speed__________________time____________________distance
_________65_____________________x_______________________65x
_________70_____________________27-x____________________70(27-x)
Total___________________________27______________________65x+70(27-x)

The given information still does not seem enough.
Note, the distance both ways is the same, as described.

Let this distance be d.

Solve for x and you can compute distance for either direction.

Divide b.s. by 5,

That much could well have been done using two variables, x and y and we would have had a system of two equations.

Use either distance expression with x=14 and find the distance:
miles
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