Question

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?

$2250$

$3000$

$4200$

$4350$

$5650$

Solution:

One-half hour is $30$ minutes, in which Julie can speak $150 \cdot 30 = 4500$ words. Three-quarters of an hour is $45$ minutes, in which Julie can speak $150 \cdot 45 = 6750$ words. The only answer choice in between these two values is $5650.$

Thus, E is the correct answer.

1997 AMC 8 Problem 4

Solution:

Problem 4 in Other Years