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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The Davis family traveled 35 miles in \( \frac{1}{2} \) hour, which gives them a speed of 70 miles per hour (since 35 miles divided by 0.5 hours equals 70 mph). To find out how much longer they need to travel to cover the remaining distance, we first subtract the 35 miles they've already traveled from the total distance of 245 miles: 245 - 35 = 210 miles. Next, we calculate how long it will take to cover those 210 miles at 70 mph. Dividing 210 miles by 70 mph gives us 3 hours. If they left at 2:00 PM and will travel for an additional 3 hours, they will arrive at 5:00 PM. Now they just need to stay on the road for a little longer, and they'll be pulling into their destination while still basking in the post-road trip glow! Time to pump up the travel playlist for the next 3 hours of exciting adventures ahead!