2018 AMC 8
Complete problem set with solutions and individual problem pages
On a trip to the beach, Anh traveled 50 miles on the highway and 10 miles on a coastal access road. He drove three times as fast on the highway as on the coastal road. If Anh spent 30 minutes driving on the coastal road, how many minutes did his entire trip take?
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Solution 1
Since Anh spends half an hour to drive miles on the coastal road, his speed is . His speed on the highway then is . He drives miles, so he drives for hours, which is equal to minutes (Note that miles per hour is the same as mile per minute). The total amount of minutes spent on his trip is .
Solution 2
Since Anh drives times as fast on the highway, it takes him of the time to drive miles on the highway than on the coastal road. of is , and since he drives miles on the highway, we multiply by to get . This means it took him minutes to drive on the highway, and if we add the minutes it took for him to drive on the coastal road, we would get .
