2016 AMC 8 Problems/Problem 4

4. When Cheenu was a boy he could run $15$ miles in $3$ hours and $30$ minutes. As an old man he can now walk $10$ miles in $4$ hours. How many minutes longer does it take for him to walk a mile now compared to when he was a boy?

$\textbf{(A) }6\qquad\textbf{(B) }10\qquad\textbf{(C) }15\qquad\textbf{(D) }18\qquad \textbf{(E) }30$

Solution

When Cheenu was a boy, he could run $15$ miles in $210$ minutes, thus running $14$ minutes per mile. When he is an old man, he can walk $10$ miles in $240$ minutes, thus walking $24$ minutes per mile. Therefore it takes him $\textbf{(B) }10$ minutes longer to walk a mile now compared to when he was a boy.

2016 AMC 8 (Problems • Answer Key • Resources)
Preceded by Problem 3	Followed by Problem 5
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All AJHSME/AMC 8 Problems and Solutions

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2016 AMC 8 Problems/Problem 4

Solution