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lauren and Andrew left Austin at the same time. Lauren traveled east at an avera

ID: 3103678 • Letter: L

Question

lauren and Andrew left Austin at the same time. Lauren traveled east at an average speed of 50 miles per hour. Andrew traveled west at an average speed of 65 miles per hour. How many hours of driving does it take for the two to be at least 500 miles apart? Write an inequality to model this situation and give the solution rounded to the nearest hundredth. There are directions for how to type math characters in the Resource Center that will show you show to enter your equations.

Explanation / Answer

let t=time Lauren is going east at 50 miles per hour, while Andrew is going the opposite direction at 65 miles per hour. Thus, the distance between them is the sum of their speeds times time, or d=50t+65t=115t When are they at least 500 miles apart? d>115t 500>115 t 500/115>t 4.35 hrs>t