The water supply in a town depends entirely on two water pumps, A and B. The probability of pump A filling is 0.1 and the probability of pump B failing is 0.2. Calculate the probability that (a) Both pumps are working (b) There is no water in the town (c) Only one pump is working (d) There is some water in the town
Akinyi bough three cups and four Spoons for Kshs. 324. Wanjiku bought five cups and Fatuma bought two spoons of the same type as those bought by Akinyi. Wanjiku paid Kshs 228 more than Fatuma. Find the price of each cup and spoon.
Two towns P and Q are 400 km apart. A bus left P for Q. It stopped at Q for one hour and then started the return journey to P. One hour after the departure of the bus from P, a trailer also heading for Q left P. The trailer met the returning bus ¾ of the way from P to Q. They met t hours after the departure of the bus from P.
(a) Express the average speed of the trailer in terms of t
(b) Find the ration of the speed of the bus so that of the trailer.
A businesswoman bought two bags of maize at the same price per bag. She discovered that one bag was of high quality and the other of low quality. On the high quality bag she made a profit by selling at Kshs 1,040. Whereas on the low quality bag she made a loss by selling at Kshs 880. If the profit was three times the loss, calculate the buying price per bag.