Question

On the standard coordinate grid at initial moment, ship Tiger is at the position (0, 215), ship Lion is at the position (754, 0). Tiger sails along the straight line to the position (1176, 0). At the same time, Lion sails along the straight line to the position (0, 969). Lion will reach her destination in one hour, Tiger – in two hours.

1. Find the point of intersection of the paths of the ships.
2. At what time from the moment of departure each of the ships will pass the point of intersection of the paths.
3. At what time (in minutes after departure) the distance between Lion and Tiger will be the shortest?
4. What is the shortest distance between Lion and Tiger?
5. What will be the positions of both ships at the moment when the distance between them is the shortest?

Answer 1