Chloe drives from town a towards town b which is 206 km apart.

(a) chloe took x minutes to drive the first 50 km at a constant speed. write down an expression, in terms of x, for her speed in km/h, for the first 50 km.

it took chloe 2 hours to drive the rest of the distance.

(b) chloe's speed for the first part of the journey is 12 km/h faster than for the second part.

write down an equation in x to represent the information above and solve the equation to find the value of x.

(c) hence, calculate chloe's average speed, in km/h, for the whole journey. correct your answer to 2 decimal places.