<p>A woman drove to work at an average speed of 40 miles per hour and returned along the same route at 30 miles per hour. If her total traveling time was 1 hour, what was the total number of miles in the round trip?</p>
<p>A: 34 and 2/7</p>
<p>why can't you just use "distance=average velocity x time" ?</p>
<p>where "average velocity= (40+30)/2=35" ?</p>
<p>Because the woman spends more time traveling for 30 mph than she does 40 mph.</p>
<p>one can just set the two trips equal to each other. X is to trip, and X-1 is return trip. Since x is time, time x speed is distance. Since the trips are same, set distance to each other. 40x=30(x-1). solve for x. Since x is time, you multiply x by 40 for the to trip. Then multiply that by 2 for overall trip.</p>
<p>@314159265 omg, you’re right! lol, thank you.</p>
<p>@gertrudetrumpet
thanks too.</p>
<p>Gertrudetrumpet, I think it’s 40x=30(1-x) since the times added together need to equal 1.</p>