Party A and Party B travel around Honghua Lake in Huizhou on weekends, starting from the starting point (axiom 0). After walking around the lake 18km, they returned to the starting point.

Let b walk x kilometers per hour and a walk x+ 1 kilometer per hour. According to the meaning of the question, the equation is obtained.

18x？ 18x+ 1=3660

After sorting, x2+x-30=0.

When solving this equation, x 1=5, x2=-6.

According to the test, x 1=5 and x2=-6 are the roots of the original equation, and the negative velocity is independent.

So let's take x=5, x+ 1=6.

A: A walks 6 kilometers per hour and B walks 5 kilometers per hour.