I go for a walk, leaving my house at $9$ o'clock. I walk east for $10$ minutes, traveling at $1\mathrm{.}00$ m$/$s$.$ Then I walk east for another $20$ minutes going a little faster, at $1\mathrm{.}20$ m$/$s$.$ I turn around and walk home at $0\mathrm{.}90$ m$/$s$\mathrm{.}1.$ How far do I walk?$2.$ How much time does the whole trip take?