From 1 & 3
R3/R1 = [0.8]^B/[0.4]^B
Substituting the values of R3 and R1 and solving the right side, you get
4/1 = [2]^B
4 = [2]^B
2^2 = [2]^B , Thus B = 2
Similarly, from 1 and 2, you will get,
2/1 = [0.2]^A/[0.1]^A
2 = [2]^A
2^1 = [2]^A, thus A = 1
Rate = K [X]^1[Y]^2
You can find K by substituting the value of A and B in either of the rate equation, for example Rate equation of expt 1 will be,
Rate = K [0.1]^1[0.4]^2, where Rate = 1, solving this will you K = 62.5.
Is this the correct answer?