SOLUTION: 5. Danny and his sister Elise are 24 miles apart. They start biking toward each other. Danny rides at a rate of 8 miles per hour, and Elise rides at a rate of 12 miles per hour.

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: 5. Danny and his sister Elise are 24 miles apart. They start biking toward each other. Danny rides at a rate of 8 miles per hour, and Elise rides at a rate of 12 miles per hour.       Log On

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Question 208511: 5. Danny and his sister Elise are 24 miles apart. They start biking toward each other. Danny rides at a rate of 8 miles per hour, and Elise rides at a rate of 12 miles per hour. How long will it be before they meet? How far will they have traveled?

Answer by Alan3354(69443) About Me  (Show Source):
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Danny and his sister Elise are 24 miles apart. They start biking toward each other. Danny rides at a rate of 8 miles per hour, and Elise rides at a rate of 12 miles per hour. How long will it be before they meet? How far will they have traveled?
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Going in opposite directions their speeds are added, so they're approaching at 20 mph.
24 miles are 20 mph --> 24/20 = 1.2 hours.
When they meet, they'll have traveled the 24 miles.