Henry started a trip into the country between 8 A.M. and 9 A.M. when the hands of clock were together. He arrived at his destination between 2 P.M. and 3P.M. when the hands of the clock were exactly 180° apart. How long did he travel?
(a)6 hours
(b)7 hours
(c)9 hours
(d)11 hours
Answer
Answer (as printed): A
Explanation
To be together between 8 A.M. and 9 A.M, the minute hand has to gain 40 min spaces. 55 min. spaces are gained in 60 min. 40 min . spaces are gained in $\left(\frac{60}{55} \times 40\right) \mathrm{min}=43 \frac{7}{11} \mathrm{min}$.