AHSME 1970 Problem 29

It is now between 10:00 and 11:00 o'clock, and six minutes from now, the minute hand of a watch will be exactly opposite the place where the hour hand was three minutes ago. What is the exact time now? $\text{(A) } 10:05\tfrac{5}{11} \text{(B) } 10:07\tfrac{1}{2} \text{(C) } 10:10 \text{(D) } 10:15 \text{(E) } 10:17\tfrac{1}{2}$