Question 997917
Bill Drives to work. Because of traffic conditions, he averages 30 miles per hour. He returns home averaging 40 miles per hour. The total time is four and a half hours. Write and solve an equation to find the time Bill spends driving to work.
<pre>It's totally unnecessary to find distance, especially since you're looking for, and can determine time without doing so
Let time spent driving to work, be T
Then time spent driving home = {{{4&1/2 - T}}}, or {{{9/2 - T}}}
We then get the following distance equation: {{{30T = 40(9/2 - T)}}}
30T = 180 – 40T
30T + 40T = 180
70T = 180
T, or time spent driving to work = {{{180/70}}}, or {{{highlight_green(2&4/7)}}} hours