2018 AMC 8 Problems/Problem 6

Revision as of 14:32, 27 February 2019 by Dcouchman (talk | contribs) (Changed pronouns in solution to match pronouns in problem.)

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, his speed is $r=\frac dt=\frac{10}{0.5}=20$mph. His speed on the highway then is $60$mph. He drives $50$ miles, so he also drives $50$ minutes. The total amount of minutes spent on his trip is $30+50\implies \boxed{\textbf{(C) }80}$

See Also

2018 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 5
Followed by
Problem 7
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All AJHSME/AMC 8 Problems and Solutions

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