The diagonal of a rectangular field is 16 m more than the shorter side. If the longer side is 14 m more than the shorter side, find the length and the breadth of the rectangular field.

Sum of the areas of two squares is 260 m². If the difference of their perimeters is 24 m, find the sides of the two squares.

A bus travels at a certain speed for a distance of 75 km and then travels a distance of 90 km at a speed of 10 km/hr more than the first speed. If it takes 3 hours to complete the journey, find the original speed.

The speed of an ordinary train is x km per hour and that of an express train is (x + 25) km per hr.

(i) Find the time taken by each train to cover 300 km.

(ii) If the ordinary train takes 2 hrs more than the express train; calculate the speed of the express train.