is my att tilt bad? the battery last for only a few hours?

i bought a used tilt and now the battery life is only lasting like what not even one day. is it because the battery is bad? do you think replacing the battery would solve this problem?

the battery level drops pretty fast. I mean, i use like only a little bit wi fi and i have the blue tooth on all day... and thats about all i do with the tilt.. and maybe i might play solitaire here and there.. the phone dies less than a day.. could it be bad battery? or what else could it be? please help. .
 
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