Question

Sandy left downtown Durham, and three hours later, Mary left going 46 mph faster to catch up. After another two hours, Mary caught up. Find Sandy's average speed.

Answer 1

Answer:

  30 2/3 mph

Step-by-step explanation:

Going 46 mph faster for 2 hours, Mary closed a (46 mi/h)×(2 h) = 92 mile gap. That gap was created in 3 hours by Sandy going ...

  (92 mi)/(3 h) = 30 2/3 mi/h

Sandy's average speed was 30 2/3 mph.

_____

Comment on the situation

We wonder what sort of road and traffic situation would allow Mary to go 76 2/3 mph in downtown Durham, while Sandy traversed the same route at 30 2/3 mph.

Answer 2

Answer:

30 2/3 mi/h

Step-by-step explanation:

Going 46 mph faster for 2 hours, Mary closed a (46 mi/h)×(2 h) = 92 mile gap. That gap was created in 3 hours by Sandy going ...

 (92 mi)/(3 h) = 30 2/3 mi/h

Sandy's average speed was 30 2/3 mph.

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