Arianna took 2hours longer to drive 360 miles on the first d

Arianna took 2hours longer to drive 360 miles on the first day of a trip than she took to drive 270 miles on the second day. If her spped was the same both days what was the driving time each day?

Solution

First Day DATA:
Distance= 360 miles ; Time= x+2 hrs ; Rate =d/t = 360/(x+2) mph
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Second Day DATA:
Distance= 270 miles ; Time = x hrs ; Rate = d/t = 270/x mph
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EQUATIOn:
rate day one = rate day two
360/(x+2) = 270/x
36/(x+2)=27/x
36x = 27x+54
9x=54
x=6 hrs (driving time on day two)
x+2= 8 hrs (driving time on day one)