2015 AMC 8

Complete problem set with solutions and individual problem pages

Problem 3 Easy

Jack and Jill are going swimming at a pool that is one mile from their house. They leave home simultaneously. Jill rides her bicycle to the pool at a constant speed of 10 miles per hour. Jack walks to the pool at a constant speed of 4 miles per hour. How many minutes before Jack does Jill arrive?

  • A.

    5

  • B.

    6

  • C.

    8

  • D.

    9

  • E.

    10

Answer:D

Using d=rt, we can set up an equation for when Jill arrives at the swimming pool:

1=10t

Solving for t, we get that Jill gets to the pool in \frac{1}{10} of an hour, which is 6 minutes. Doing the same for Jack, we get that

Jack arrives at the pool in \frac{1}{4} of an hour, which in turn is 15 minutes. Thus, Jill has to wait 15-6=\boxed{\textbf{(D)}~9}

Related Problems
Problem 1 2015 AMC 8
Problem 2 2015 AMC 8
Problem 4 2015 AMC 8
Problem 5 2015 AMC 8
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