Two cyclists start simultaneously from towns A and B that are 60km apart and travel towards each other on the same straight road. Cyclist P starting from A rides 4km/h faster than Cyclist Q starting from B. They meet after 3h.
a. (i) If the speed of Cyclist Q is xkm/h and that of Cyclist P is ykm/h, write two linear equations connecting x and y.
b. (ii) Solve the equations to find the speed of each cyclist.
c. (iii) After meeting, Cyclist P continues to B and immediately turns back towards A at the same speed. How far from B will he be when Cyclist Q reaches B?