Question 65328
Ariana took 2 hours longer to drive 360 miles on the first day of a trip than she took to drive 270 miles on the second day.


Time for the trip on day 2 = x so the time on day 1 was x + 2
Speed = distance/time so
{{{360/(x+2)=270/x}}}
Multiply each side by x
{{{360x/(x+2)=270}}}
Multiply each side by (x+2)
{{{360x=270(x+2)}}}
{{{360x=270x+540)}}}
Subtract 270x from each side
{{{90x=540)}}}
x=540/90
=6 hours and the day 1 time was 8 hours

(A non algebra method would take the idea that the extra 90 miles took 2 hours so her speed is 45 miles per hour. The times would therefore be 360/45 = 8 hours and 270/45=6 hours)