SOLUTION: Please help me solve this. I first got 27 but i then tried the equation {{{30=(x+16)/2}}} and got 44. But i have a feeling im doing it incorrectly. a driver travels 30 miles to t

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Please help me solve this. I first got 27 but i then tried the equation {{{30=(x+16)/2}}} and got 44. But i have a feeling im doing it incorrectly. a driver travels 30 miles to t      Log On

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Question 652433: Please help me solve this. I first got 27 but i then tried the equation 30=%28x%2B16%29%2F2 and got 44. But i have a feeling im doing it incorrectly.
a driver travels 30 miles to the gym at a constant speed and travels the same distance home at a constant speed. his speed on the return trip was sixteen miles per hour faster, and the total time for both trips was two hours. find his speed on the way to the gym.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
a driver travels 30 miles to the gym at a constant speed and travels the same
distance home at a constant speed.
his speed on the return trip was sixteen miles per hour faster, and the total
time for both trips was two hours.
find his speed on the way to the gym.
:
Here is the equation you want
let s = his speed on the way to the gym
then
(s+16) = his speed returning
:
Write a time equation time = dist/speed
:
Time there + time back = 2 hrs
30%2Fs + 30%2F%28%28s%2B16%29%29 = 2
multiply by s(s+16) to clear the denominators, you will get a quadratic equation to solve