a. A car travels a distance of 112 km at an average speed of 70 km/h. it then travels a further 60 km at an average speed of 50 km/h. Calculate, for the entire journey, the total time taken.

b. if  \(\frac{x}{y}\) = 2  and  \(\frac{y}{z}\) = 3, find the value of  \(\frac{ x + y}{y + z }\)

a. In a football match, tickets for children and adults were sold at D3.00 and D5.00 respectively. if 400 people attended a football match and D1700.00 was collected in ticket sales. How many tickets were sold to adults?

b. Mr Johnson sold 250 tickets. If 175 of the tickets were for adults, how much sales did he make altogether?

a. In the diagram above, PQR is an equilateral triangle of side 18 cm. M is the midpoint of QR. An arc of a circle with center P touches QR at M and meets PQ at A and PR at B. Calculate, correct to two decimal places, the area of the shaded region. (take \(\pi = \frac{22}{7})\)

a. In the diagram above, P, Q, R, and S are points on the circle with centre K. KR is a bisector of angle ∠SRQ, ∠KSP = 41°, and ∠SKR = 80°. Find:
∠RQP;

b. Find ∠SPQ

a. A boy stands at the point M on the same horizontal level as the foot, T of a vertical building. He observes an object on the top, P of the building at an angle of elevation of 66°. He moves directly backward to a new point C and observes the same object at an angle of 53°. if | MT | = 50 m:

Illustrate the information in a diagram;

bi. Calculate and correct to one decimal place: the height of the building;

bii. Calculate and correct to one decimal place: LINE MC.