Towns A and B are 240 km apart.
A bus takes 80 minutes longer than a car to travel between the two towns.
The car is travelling at 15 km/h faster than the bus which is travelling at × km/h.

(a) Find the time, in hours,
taken by the bus and the car to travel between the two towns in terms of x

(b) Form an equation in × and
show that it reduces to ×2 + 15x - 2700 = 0

(c) Solve the equation and find the speed of the bus and
the time taken by the car to travel between the two towns.