Question 785010
You and your friend share the driving on a 280 mile trip. Your average speed is 58 miles per hour. Your friend's average speed is 53 miles per hour. You drive 1 hour longer than your friend. How many hours does each of you drive?

Friend drives t hours==========rate 53 mph
I drive t+1 hours==============rate 58 mph

Your distance = 53 t
friends distance = 58(t+1)

add both distances 

53t+58(t+1)=280

53t+58t+58=280

111t=280-58

111t=222

t= 2 hours

friend 2 hours

I drive 1 hour more