MathDB

Three men, Alpha, Beta, and Gamma, working together, do a job in

6

hours less time than Alpha alone, in

1

hour less time than Beta alone, and in one-half the time needed by Gamma when working alone. Let

h

be the number of hours needed by Alpha and Beta, working together to do the job. Then

h

equals:

\text{(A)}\ \dfrac{5}{2}\qquad \text{(B)}\ \frac{3}{2}\qquad \text{(C)}\ \dfrac{4}{3}\qquad \text{(D)}\ \dfrac{5}{4}\qquad \text{(E)}\ \dfrac{3}{4}

Problem Statement