Hello. I am a Computer Science student with a couple of years of experience in game development, mainly with Unity.
I can replicate that app in less than a week using Corona SDK or Unity.
I would prefer to use Unity on that project, as I am more experienced with it. But since I use the free version of unity, the app starts with the unity logo on the splash screen.
If the splash screen is no problem, I will be able to create the app in few days with no problems (if necessary, with integration to social networks and google play services, ads, in app purchase and some other features).
---------------------------------------------
As we discussed, I can deliver it in less thant two weeks, since you need it made in native code.