SOLUTION: Raja lives in Ft Pierce and his cousin lives in Clearwater. The distance btw the two is 170miles. The cousin decides to meet for a visit some place btw their homes. Raja lea

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Question 597320: Raja lives in Ft Pierce and his cousin lives in Clearwater. The distance btw the two is 170miles. The cousin decides to meet for a visit some place btw their homes.
Raja leaves Ft. Pierce at 10am traveling an avg speed of 50mph. His cousin leaves Clearwater at 11am traveling an avg of 30mph. At what distance, in miles from Ft Pierce will the two cousins meet?
Answer by solver91311(24713) About Me  (Show Source):
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If the guy who starts at 10am is going 50 mph, he will have gone 50 miles when the other guy starts. Which is to say that when the second guy starts they will be 170 minus 50 = 120 miles apart.

Distance equals rate times time, so time equals distance divided by rate. The distance the 50mph guy will cover of the remaining 120 miles can be represented by , so



The other guy must be traveling what remains of the 120 after you subtract the miles the first guy will cover, so his trip is described by:



Since we are concerned with the time they meet, the time each of them is on the road (starting at the 11:00 am time) is equal, hence:



Solve for

John

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