makes it clear she was traveling at a slightly different pace up vs. down. We don't know if she was ascending faster or descending faster because we don't know the time of year.
However, because she leaves *exactly* at sunrise and arrives *exactly* at sunset implies a precision in the question beyond "close enough". If by "at the same time on both days", the question means "during the same minute" then I agree with your close enough answer.
My answer assumes a higher degree of precision.