Question:

Two LORAN radio stations A and B are 190 kilometers apart

Last updated: 7/29/2022

Two LORAN radio stations A and B are 190 kilometers apart

Two LORAN radio stations A and B are 190 kilometers apart and send a simultaneous radio signal to a ship. The signal from B arrives 0.0002 seconds before the signal from A. If the signal travels 300,000 kilometers per second, find the equation of the hyperbola on which the ship is positioned. Use a coordinate system where the origin is the midpoint between the stations, and the stations lie on the x-axis.