1997 AJHSME Problems/Problem 4

Problem

Julie is preparing a speech for her class. Her speech must last between one-half hour and three-quarters of an hour. The ideal rate of speech is 150 words per minute. If Julie speaks at the ideal rate, which of the following number of words would be an appropriate length for her speech?

$\text{(A)}\ 2250 \qquad \text{(B)}\ 3000 \qquad \text{(C)}\ 4200 \qquad \text{(D)}\ 4350 \qquad \text{(E)}\ 5650$

Solution

Since there are $60$ minutes in an hour, we need a number of words between $(\frac{1}{2}\times 60)\times150=4500$ and $(\frac{3}{4}\times60)\times150=6750$ . The only such choice is $\boxed{\textbf{(E)}}$ .

1997 AJHSME (Problems • Answer Key • Resources)
Preceded by Problem 3	Followed by Problem 5
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1997 AJHSME Problems/Problem 4

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