if you see the star sirius rise at 10 am what time will it rise one month later??

Answer 1

One month from now, the stars are in the same position in the sky about 2 hours earlier.

Of course, if you're seeing stars rise at 10am, you're probably pretty close to the north pole right now, and Sirius is probably below the horizon. But assuming you can see it rise in the daytime, it would rise at ~8am in a month. Sirius is rising around 10pm these days ... so in a month, it will rise ~8pm

Answer 2

Two hours later, 12 AM.

Because Earth has gone 1/12 of the way around the Sun in that month, and 1/12 of a 24 hour day is 2 hours.