The men could pay a deposit of 60 of the money and

The men could pay a deposit of 60% of the money and the rest to be
paid in within 1 year. Onyango, Abdul, and Mwangi raised the deposit in the ratio 3:2:5
respectively. The balance was to be paid to the dealer from the proceeds of the bus in the same
ratio as deposits. The three men shared the proceeds from the bus in the same ratio as the
deposits. During the yare the bus realized sh 2,080,000.
(a) How much deposit did each contribute? (4 marks)
(b) How much of the remaining amount did Mwangi pay at the end of the year? (2 marks)
(c) After paying the remaining amount at the end of the year, how much money was Onyango
left with? (4 marks)
8

19. Water flows through a circular pipe of a cross-section area 6.16cm
2
at a uniform speed of 10cm
per second. At 6.00 am, water starts flowing through the pipe into an empty rectangular tank of
base area 3m
2
?
(a) What is the depth of the water in the tank at 8.30am? (4 marks)
(b) If the tank is 1.2m high and has a hole at the bottom through which water leaks at the rate of
11.6cm
3
per second. Determine the time at which the tank will be filled. (4 marks)
9

20. A bus left Mombasa and traveled towards Nairobi at an average speed of 60 km/hr. After 2½
hours, a car left Mombasa and traveled along the same road at an average speed of 100km/hr. If
the distance between Mombasa and Nairobi is 500km, determine.
(a) (i) The distance of the bus from Nairobi when the car took off. (2 marks)
(ii) The distance the car traveled to catch up with the bus. (4 marks)
(b) Immediately the car caught up with the bus, the car stopped for 25 minutes.