Question

On a bicycle, Teresa rides for 7 hours and is 80 miles from her house. After riding for 9 hours, she is 102 miles away. What is Teresa's rate? ____miles per hour. How far away from her house did Teresa start riding? _____miles (Note that she did not start riding at her house.)

Answer 1

Teresa's rate is 11 miles/hour. She started riding 3 miles away from her house.

Step-by-step explanation:

To find Teresa's rate in terms of miles per hour, we need to determine the change in distance over change in time. For the first 7 hours, she covered 80 miles. In the next 2 hours (from 7 to 9 hours), she covered 22 miles (102 minus 80 miles). This means that each hour, she covered 11 miles (22 miles divided by 2 hours).

To find out how far Teresa started from her house, we multiply the 7 hours by the rate we just calculated, which is 11 miles per hour. So, 7 hours multiplied by 11 miles per hour equals 77 miles. This means Teresa started riding 3 miles away from her house (80 miles minus 77 miles).

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