Chapter 10.4, Problem 47ES

As illustrated in the accompanying figure, suppose that two transmitting stations are positioned 100 km apart at points $F_1\left(50,0\right)\text{and}{\text{F}}_2\left(-50,0\right)$ on a straight shoreline in an $xy\text{-coordinate}$ system. Suppose also that a ship is traveling parallel to the shoreline but 200 km at sea. Find the coordinates of the ship if the stations transmit a pulse simultaneously, but the pulse from station $F_1$ is received by the ship 100 microseconds sooner than the pulse from station $F_2.$ [Assume that the pulses travel at the speed of light $\left(299,792,458m/s\right).]$