To find the rate, first you divide 180mi/3hr to get 60mph. On the first day they were traveling at a rate of 60mph. It says that on the second day, they drove at the same rate and drove 300 miles. This means you divide 300mi/60mph to get 5hr. They drove 5hr on the second day. And finally, the question asks how long they drove total, so you add 3hr+5hr to get 8hr total.
Answer is 8hr.
Essentially, what we need to do here is prove that BE=EC, BE=CB, and.or CE=BC therefore making it isosceles. With ∠AEC=∠DEB, we know AE=DE, so EC=EB (the points go in order). Therefore, as EC=EB, BEC is isosceles (it has at least 2 equal sides).
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Hence thirty two dollars , is the solution
