**A Math Riddle

            Once in a long while, I post a puzzle, a riddle, or a math problem just for fun. When it comes to solving any math problem, you must think logically and be rigorous. There is no place for sloppy thinking. I can also say that when it comes to learning to grow spiritually, we must discern all things with a clear consc ience and let the Holy Spirit alone guide us, with ourselves out of the way completely. 
           Anyway, this math riddle I came across online is supposed to be a basic math problem that most college students fail to solve. So I took up the challenge to find out how hard it was. Well, I did solve the problem and found that some knowledge of basic algebra was necessary, for you need to start out with some equations. And you must figure out how you are going to attack the problem first. After my wife solved the problem, we compared notes and found that the tracks we followed were somewhat different, but we came to the same answer. So if you have some time and love to challenge yourself, here is the problem:
        Tom and Dick can complete a job in 2 hours. Tom and Harry can complete the same job in 3 hours. Dick and Harry can complete the same job in 4 hours. How long will the job take if Tom, Dick, and Harry all work together? (Obviously, the answer has to be less than 2 hours. If you express you answer as a simple fraction, the 4 numerals making up the numerator and the denominator turned out to be 1, 2, 3, and 4.)