Hello,
From Sakuragicho station to Yamate area, it would take about 1 hour by walk. But there are so many interesting spots on the way, so I’m sure it would take more than you expect.
Here is my suggestion.
Since Nogeyama Zoo is closing at 4:30p.m.(Open from 9:30a.m.), I would say that going to the zoo first is the best thing to do if you really wanna go to see a zoo. And, I guess the Ramen Museum is a nice place to visit, but since it is not on the way, here is another suggestion for you.
http://amazing-kanagawa.jp/english/2012/02/24/cupnoodles-museum-by-kwa...this is a new noodle museum opened in the last year. (But March 20th is a national holiday and could be got crowded…)
If you go here, you can have a lunch at the restaurant in this building after enjoying the Zoo. (Or there are so many nice cafes or restaurants inside the shopping malls in the area)
Then, you can go the major spots, such as Red Brick Wsrehouse, Osanbashi, and Yamashita Park.
http://amazing-kanagawa.jp/english/2011/09/12/yokohama-red-brick-wareh...I’m sure by the time you get to Yamashita park, you feel like wanna get some energy. So why don’t you take a rest in Motomachi area? There are also nice cafes on the street.
Also, you can enjoy shopping here.
If you wanna go check out Yamate area, it would be the nice timing since Yamate area is very close to the Motomachi shopping street.
There are famous visiting spots, such as Harbor View Park, Western style buildings, and so on.
http://amazing-kanagawa.jp/english/2011/10/14/go-for-a-stroll-%e2%80%9...In the last, I suggest you to have a dinner at China town.
http://amazing-kanagawa.jp/english/2011/12/23/yokohama-chinatown-by-kw...Since you have to leave Yokohama by 20:30, I guess you can’t go somewhere too far in this trip. This plan is not the one make you get in a rush, so hope you enjoy the atmosphere of Yokohama well through this trip.
Have a safe trip.