Answer:
To solve this problem, we need to use the concept of distance, rate and time (D = R x T)
We know that the distance is 49 miles and the rate is 14 miles per hour.
We want to find the time T.
We can use the formula D = R x T, to find the time T:
T = D/R = 49 miles / 14 miles/hour = 3.5 hours
So it takes Nena 3.5 hours to ride from the city park to the nearby lake.
Now we know that she needs to arrive at the lake at 1:00 PM, so we have to work out what time she needs to leave the park. We can subtract the time T from the arrival time to find the departure time:
1:00 PM - 3.5 hours = 9:30 AM
Therefore, the latest Nena can leave the park in order to arrive at the lake at 1:00 PM is 9:30 AM