Question

Albert was driving on a straight highway, from edenborough to megiddo, at 60 mph. Beatrice was driving faster than albert, on the same highway, in the same direction. She started behind albert. She passed albert at 1:20 pm. At 3:20 pm, beatrice arrived at megiddo, and albert arrived 50 minutes later, at 4:10 pm. Assume both drivers kept up constant speeds without stops. What was beatrice's speed, in mph?

Answer 1

From the moment Beatrice passed Albert :

t (Beatrice) = 2 h,

t (Albert) = 2 h 50 min = 2.833 h.

v (Albert) = 60 mph

v = d/t,  so d = 60 mph * 2.88333 h = 170 miles

v (Beatrice) = 170 mi / 2 h = 85 mph.

Answer : Beatrice's speed was 85 mph