I want to do "The Twenty Pull-ups Challenge" and "One Hundred Pushups".. so can I do them in the same time?

My question is... can I do these 2 challenges at the same time... if I can't how should I add the other muscle groups in my routine?
http://twentypullups.com/the-twenty-pull-ups-challenge/
http://hundredpushups.com/index.html#sthash.UHqAoaVQ.dpbs

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