MathDB
Hands of a Clock

Source:

February 11, 2009

Problem Statement

Henry starts a trip when the hands of the clock are together between 8 8 a.m. and 9 9 a.m. He arrives at his destination between 2 2 p.m. and 3 3 p.m. when the hands of the clock are exactly 180∘ 180^\circ apart. The trip takes: (A)\ \text{6 hr.} \qquad (B)\ \text{6 hr. 43\minus{}7/11 min.} \qquad (C)\ \text{5 hr. 16\minus{}4/11 min.} \qquad (D)\ \text{6 hr. 30 min.} \qquad (E)\ \text{none of these}