SOLUTION: Two people set out simultaneously from two locations 12 miles apart and walk toward each other. One person walks 5 miles an hour faster than the other. Find the rate of speed of ea

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Question 524056: Two people set out simultaneously from two locations 12 miles apart and walk toward each other. One person walks 5 miles an hour faster than the other. Find the rate of speed of each person if they meet in one hour and ten minutes.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
First person x mph
Second person x+ 5 mph
..
They are moving towards each other

So add up their speed.

combined speed = x+ 1 x + 5
( 2 x + 5 )
Time = 1.17 hours
Distance = 12 miles
Distance = speed * time
( 2 x 5 )* 1.17 = 12
2.33 x + 5.83 = 12
2.33 x = 12 + -5.83
2.33 x = 6.17
/ 2.33
x= 2.64 mph First person
Second person 2.64 + 5 = 7.64 mph