2018 AMC 8 Problems/Problem 6

Problem 6

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?

$\textbf{(A) }50\qquad\textbf{(B) }70\qquad\textbf{(C) }80\qquad\textbf{(D) }90\qquad \textbf{(E) }100$

Solution

Since Anh spends half an hour to drive 10 miles on the coastal road, her speed is $r=\frac dt=\frac{10}{0.5}=20$ mph. Her speed on the highway then is $60$ mph. She drives $50$ miles, so she also drives $50$ minutes. The total amount of minutes spent on her trip is $30+50\implies \boxed{\textbf{(C) }80}$

2018 AMC 8 (Problems • Answer Key • Resources)
Preceded by Problem 5	Followed by Problem 7
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All AJHSME/AMC 8 Problems and Solutions

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2018 AMC 8 Problems/Problem 6

Problem 6

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