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)   (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

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