SOLUTION: 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 yo

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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?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
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