Answer:72 mph you better say thank you, do you know how long it took me to solve this
Step-by-step explanation:
To determine at what speed the special agent should chase the spy, we can break down the scenario into steps:
1. The spy has a head start of 2 hours, traveling at 60 mph, which means he has covered a distance of \( 2 \times 60 = 120 \) miles.
2. The remaining distance for the special agent to catch up to the spy is \( 240 - 120 = 120 \) miles.
3. The special agent is traveling at 90 mph, and the spy is still moving at 60 mph.
4. To catch up to the spy, the special agent needs to cover the remaining 120 miles. We can calculate the time it will take the special agent to cover this distance by dividing the distance by the speed: \( \frac{120}{90} = \frac{4}{3} \) hours.
5. The total time taken by the special agent to catch up to the spy is 2 hours (time delay) + \( \frac{4}{3} \) hours (time taken to cover the remaining distance) = \( \frac{10}{3} \) hours.
6. To find the speed at which the special agent should chase the spy, we divide the total distance (240 miles) by the total time taken (\( \frac{10}{3} \) hours): \( \frac{240}{\frac{10}{3}} = \frac{720}{10} = 72 \) mph.
Therefore, the special agent should chase the spy at a speed of 72 mph to catch up to the spy at the evacuation spot 240 miles away.
