I am sorry if my views are a bit extreme on this. But i personally think Tyra is good for time-pass and impressing the girls/guys in your tuition class. But for CAT I think you are better off without it. The following assumptions form the basis of my argument :
1) You are supposed to actually work out a problem. Knowing a short-cut to every known problem in the world presents you with a combinatorial explosion. Sample some of the stuff (albeit imaginary) :
"There is a cat moving with velocity cx and a rat with speed rx and distance between them initially is d1 then after time t1 they move away and the distance at time t2 is d2" To solve such sums simply use the formulae :
(t1+t2)/(d1*d2)+(cx-rx)/(cx+rx) if d1>d2 and
(d1*d2)/(t1+t2) - (cx-rx)/(cx-rx) if d2>d1.
For d1=d2, the formula cannot be used.
Get the drift (though I admit this was a kind of crazy example

)
The point is in CAT, the chances of you getting this exact kind of question are bleak. what is more unlikely is you remembering to use it.
2) It is like a recursive function in programming language speak. To remember the short-cuts (since there are so many) you need anyother shortcut
3) CAT has stopped asking such straight forward questions (since mid-90s). So it is of no use unless you are preparing for a Bank PO exam where there is something like 150questions in 90mins and you are expected to get all right. (infact this should have been the first point).
HTH,
Arun