SOLUTION: The Smiths traveled to Voyageurs National Park to view the spring foliage at its peak. The driving time from their home to the park was 2 hours. For the first third of the time the

Question 1002957: The Smiths traveled to Voyageurs National Park to view the spring foliage at its peak. The driving time from their home to the park was 2 hours. For the first third of the time they spent driving to the park, the Smiths were in traffic and averaged 42 mi/h. During the second third of the 2 hours, they were able to travel at an average speed of 66 mi/h. For the final third of their trip, the Smiths traveled on local mountain roads and drove an average of 30 mi/h.
a) What is the total distance the Smiths traveled to get to the park from their home?
b)What was the average driving speed for the Smith's entire trip from home to the park?
My work for b:
42+66+30=138
138/3=46
Answer: 46 mi/h
c) The Smiths traveled back home using the same route, for which the average speed limit was 60 mi/h. During their trip home, the Smiths drove at an average speed that exceeded the speed limit by 10%. How many minutes did it take the Smith's to return home from the park? Express your answer to the nearest whole number.
My work for c:
60*.10=6
60+6=66

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The Smiths traveled to Voyageurs National Park to view the spring foliage at its peak. The driving time from their home to the park was 2 hours. For the first third of the time they spent driving to the park, the Smiths were in traffic and averaged 42 mi/h. During the second third of the 2 hours, they were able to travel at an average speed of 66 mi/h. For the final third of their trip, the Smiths traveled on local mountain roads and drove an average of 30 mi/h.
a) What is the total distance the Smiths traveled to get to the park from their home?
42 mi/hr*(2/3)hr = 28 miles
66 mi/hr*(2/3)hr = 44 miles
30 mi/hr*(2/3)hr = 20 miles
d = 92 miles
====================================
b)What was the average driving speed for the Smith's entire trip from home to the park?
My work for b:
42+66+30=138
138/3=46
Answer: 46 mi/h
92 mi/2 hr = 46 mi/hr
Your method makes me uneasy, even tho your answer is correct.
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c) The Smiths traveled back home using the same route, for which the average speed limit was 60 mi/h. During their trip home, the Smiths drove at an average speed that exceeded the speed limit by 10%. How many minutes did it take the Smith's to return home from the park? Express your answer to the nearest whole number.
My work for c:
60*.10=6
60+6=66
--------------
Their avg speed was 66 mi/hr
92 mi/66 mi/hr = 46/33 hours
(46/33)*60 =~ 84 minutes

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