Tanis looked at her watch and noticed that, at that moment, it was $8 x$ minutes after 7:00 a.m. and $7 x$ minutes before 8:00 a.m. for some value of $x$. What time was it at that moment?
(A) 7:08 a.m.
(B) 7:40 a.m.
(C) 7:32 a.m.
(D) 7:36 a.m.
(E) 7:31 a.m.
The number of minutes between 7:00 a.m. and the moment when Tanis looked at her watch was $8 x$, and the number of minutes between the moment when Tanis looked at her watch and 8:00 a.m. was $7 x$.

The total number of minutes between 7:00 a.m. and 8:00 a.m. is 60 .

Therefore, $8 x+7 x=60$ and so $15 x=60$ or $x=4$.

The time at that moment was $8 x=32$ minutes after 7:00 a.m., and so was 7:32 a.m. (We note that 7:32 a.m. is $28=7 x$ minutes before 8:00 a.m.)