QUESTIONS
Two inlet taps P and Q opened at the same time can fill a tank in 2 1/2 h. The two taps were opened together at the same time and after 1 hour 10 minutes tap Q was closed and P continued alone and filled the tank after a further 4 hours. Find:
a) The fraction of the tank filled by both taps for 1 hour. (1 marks)
b) The fraction of the tank filled by tap P after Q was closed. (2 marks) c) The time which each tap working alone would have taken to fill the tank. (7 marks) ANSWERS
A piece of wire, 18 cm long is cut into two parts. The first part is bent to form the four sides of a rectangle having length x cm and breath 1 cm.
a). State two expressions in terms of x only for the perimeter of the square and the rectangle. (2 marks) 
If the sum of the areas of the square and the rectangle is A cm2, show that
If A =8 cm2, Solve the equation in (b) above for x, hence find the possible dimensions of the two pieces of wire. (6 marks)
If the bucket above has a hole and 1.1 cm3 of water leaks out every 5 seconds and collects in a cylindrical can of base radius and height 10 cm and 25 cm respectively. Calculate how long it takes to fill the cylindrical can. (4 marks)
A tower is on a bearing of 030o from a point P and a distance of 100m.From P, the angle of elevation of the top of the tower is 15o and the angle of depression of the foot of the tower is 1o. a). Calculate the height of the tower. (4 marks) b). A point Q is on the same horizontal plane as point P. The tower is on a bearing of 330ofrom Q and a distance of 70 m. Calculate: i) The distance from P to Q. (3 marks) ii) The bearing of P from Q. (3 marks)
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