Question 6
A nature photographer is walking through the jungle when she sees a rare fox that is $100$ meters away. Immediately, the fox starts running away from the photographer at a speed of $6$ meters per second, while the photographer starts running towards the fox at a speed of $10$ meters per second.
The photographer can stop and get out her camera at any time, but it will take her $5$ seconds after stopping to set up her camera and take a photo (during which the fox will continue running). If she must be within $50$ meters of the fox when she takes the photo to get a good shot, then what is the shortest amount of time, in seconds, after which she can take a good photo of the fox?
The photographer can stop and get out her camera at any time, but it will take her $5$ seconds after stopping to set up her camera and take a photo (during which the fox will continue running). If she must be within $50$ meters of the fox when she takes the photo to get a good shot, then what is the shortest amount of time, in seconds, after which she can take a good photo of the fox?