lunarfox270p16yqz
20.09.2020 •
Mathematics
On a trip, Duke encounters some road construction that slows him down. While he is able to go 60 mph on the highway and 40 mph through cities, he can only go 20 mph past the construction. He spends one half the time on the highway as he does in construction, so the 380-mile trip takes 11 hours. How much of this time does he spend on the highway, in the city, and through road construction?
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Ответ:
Time taken by Duke on the highway = 3 hours
Time spent on the construction = 6 hours
Time spent in the city = 2 hours
Step-by-step explanation:
Speed by which Duke travels a distance on highway = 60 mph
Let the time taken to travel on highway = hours
Distance traveled = miles
Speed in the city = 40 mph
Let the time taken = hours
Distance traveled in the city = miles
Speed on the construction = 20 mph
Let the time spend on the construction = hours
Distance traveled on the construction = miles
Since, total distance covered = 380 miles
He spends one half the time on the highway as he does on the construction,
Total time spent in the trip = 11 hours
Therefore,
From equation (1),
hours
hours
hours
Therefore, time taken by Duke on the highway = 3 hours
Time spent on the construction = 6 hours
Time spent in the city = 2 hours
Ответ:
the answer is 400$
Step-by-step explanation: