Question 950259
Jane leaves her house and drives in a straight line at a speed of 55 mph. Her speed on the return trip is 65 mph. The trip back home takes 13 minutes less than the outbound trip. What was Jane's total travel time in hours? Assume both trips are in a straight line. Give your final answer as a simplified fraction.
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let x=distance  traveled (same for outbound trip and return trip home)
distance/speed=travel time
x/55-x/65=13/60  (trip back home takes 13 minutes less than the outbound trip.)
{{{(65x-55x)/(55*65)=13/60}}}
{{{10x/3575=13/60}}}
{{{x=3575*13/600=46475/600}}} miles
travel time=distance/speed
{{{46475/(600*55)+46475/(600*65)=2.6}}} (sum of travel time for both trips)
What was Jane's total travel time in hours? 2.6