The Davis family traveled 35 miles in $$ \frac{1}{2} $$ hour. If it is currently 2:00 p.M. and the family's destination is 245 miles away, at what time will they arrive? Explain how you solved the problem.

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First, determine the speed of the Davis family. They traveled $$35$$ miles in $$\frac{1}{2}$$ hour, so the speed $$s$$ is calculated as:

$$
s = \frac{35}{\frac{1}{2}} = 35 \times 2 = 70 \text{ miles per hour}
$$

Next, calculate the time $$t$$ required to travel the remaining $$245$$ miles using the speed:

$$
t = \frac{245}{70} = 3.5 \text{ hours}
$$

Finally, add the travel time to the departure time of $$2:00$$ p.m.:

$$
2:00 \text{ p.m.} + 3 \text{ hours and } 30 \text{ minutes} = 5:30 \text{ p.m.}
$$

Thus, the Davis family will arrive at $$5:30$$ p.m.
The Davis family will arrive at 5:30 p.m.

The Davis family traveled 35 miles in \( \frac{1}{2} \) hour. If it is currently 2:00 p.M. and the family's destination is 245 miles away, at what time will they arrive? Explain how you solved the problem.

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