Carmen went on a trip of 120 miles, traveling at an average of x miles per hour. Several days later she returned over the same route at a rate that was 5 miles per hour faster than her previous rate. If the time for the return trip was one-third of an hour less than the time for the outgoing trip, which equation can be used to find the value of x?

Options

A. `(120)/(x+5)=(1)/(3)`
B. `(x)/(120)=(x+5)/(120)-(1)/(3)`
C. `(120)/(x+(x-5))=(1)/(3)`
D. `(120)/(x)=(120)/(x+5)+(1)/(3)`

Answer

D