Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
-Alexander and Judy are 26 miles apart on a calm lake paddling toward each other. Alexander paddles at 3 miles per hour, while Judy paddles at 6 miles per hour. How long will it take them to meet?
A) 8.7 hours
B) 2.9 hours
C) 17 hours
D) 2.8 hours

Question

Quizplus · Accepted Answer

The total distance they need to cover is 26 miles. Since they are moving towards each other, you can add their speeds together. Alexander paddles at 3 mph and Judy at 6 mph, making a combined speed of 9 mph. To find the time, divide the total distance by the combined speed: $ \frac{26 \text{ miles}}{9 \text{ mph}} = 2.888... $ hours, which rounds to 2.9 hours.

Set Up an Equation That Can Be Used to Solve