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- Water flows through a circular pipe of cross-section area of 6.16cm² at a uniform speed of 10cm per second.At 6 a.m,water starts flowing through the pipe into an empty rectangular tank of base area 3m².
Water flows through a circular pipe of cross-section area of 6.16cm² at a uniform speed of 10cm per second.At 6 a.m,water starts flowing through the pipe into an empty rectangular tank of base area 3m².
a)What is the depth of the water in the tank at 8.30a.m?
b)If the tank is 1.2metres high and has a hole at the bottom through which water leaks at the rate of 11.6cm³ per second,determine the time at which the tank will be filled.
Date posted: April 9, 2019
- Three jua kali artisans Nyundo,Karai and Moto,invested sh1,200,sh1,800 and sh3,000 respectively in their business.
Three jua kali artisans Nyundo,Karai and Moto,invested sh1,200,sh1,800 and sh3,000 respectively in their business.They agreed that 34% of the the profits would be divided equally among them and the rest in the ratio of their investments.How much did Nyundo receive at the end of one year when the total profit realized was sh 15,000?
Date posted: April 9, 2019
- Two business partiners Nzau and Masese contributed sh.112,000 and sh.128,000 respectively,to start a business.They agreed to share their profits as follows;
Two business partiners Nzau and Masese contributed sh.112,000 and sh.128,000 respectively,to start a business.They agreed to share their profits as follows;
30% to be shared equally
30% to be shared in the ratio of their contributions.
40% to be retained for the running of the business.
If their total profit for the year 1989 was sh.86,400 calculate;
i)The amount received by each partner.
ii)The amount retained for running the business.
Date posted: April 9, 2019
- It takes 30 workers 6 days working at the rate of 8 hours a day to harvest maize in a farm. How many days would 50 workers working 6 hours a day take to harvest the maize?.
It takes 30 workers 6 days working at the rate of 8 hours a day to harvest maize in a farm. How many days would 50 workers working 6 hours a day take to harvest the maize?.
Date posted: April 9, 2019
- Kamau,Chelule and Wekesa are three casuals in a juakali enterprise.Chelule earns twice as much as Kamau and Wekesa earns sh.70 more than Chelule.
Kamau,Chelule and Wekesa are three casuals in a juakali enterprise.Chelule earns twice as much as Kamau and Wekesa earns sh.70 more than Chelule.If their total earnings are sh.1,120,express the ratio of their earnings Kamau:Chelule:Wekesa in its simplest form.
Date posted: April 9, 2019
- A pool of water with surface area of 0.6 ha has a uniform depth of 3m.A pipe drains the pool at the rate of 200 litres per second.
A pool of water with surface area of 0.6 ha has a uniform depth of 3m.A pipe drains the pool at the rate of 200litres per second .How many hours does it take to empty the pool?.
Date posted: April 9, 2019
- Akinyi,Bundi,Cura and Diba invested some money in a business in the ratio of 7:9:10:14 respectively.
Akinyi,Bundi,Cura and Diba invested some money in a business in the ratio of 7:9:10:14 respectively.The business realized a profit of sh.46,800.They shared 12% of the profit equally and the remainder in the ratio of their contributions.Calculate the total amount received by Diba?.
Date posted: April 9, 2019
- Three business partners Atieno, Wambui and Mueni contributed Sh. 50,000, Sh. 40,000 and Sh. 25,000 respectively to start a business
Three business partners Atieno, Wambui and Mueni contributed Sh. 50,000, Sh. 40,000 and Sh. 25,000 respectively to start a business. After some time they realized a profit which they decided to share in the ratio of their contributions. If Mueni’s share was sh.10,000,by how much was Atieno’s share more than that of Wambui?
Date posted: April 9, 2019
- A group of 5 people can do a piece of work in 6 hours.Calculate the time a group of 8 people,working at half the rate of the first group would take to complete the same work.
A group of 5 people can do a piece of work in 6 hours.Calculate the time a group of 8 people,working at half the rate of the first group would take to complete the same work.
Date posted: April 9, 2019
- Atieno and Kamau started a business by contributing sh.25,000 and sh.20,000 respectively. At the end of the year,they realized a profit of sh.81,000.
Atieno and Kamau started a business by contributing sh.25,000 and sh.20,000 respectively.At the end of the year,they realized a profit of sh.81,000.
Date posted: April 9, 2019
- A farmer feeds every two cows on 480 Kg of hay for four days.The farmer has 20,160Kg of hay which is just enough to feed his cows for 6 weeks.Find the number of cows in the farm.
A farmer feeds every two cows on 480 Kg of hay for four days.The farmer has 20,160Kg of hay which is just enough to feed his cows for 6 weeks.Find the number of cows in the farm.
Date posted: April 9, 2019
- Five people can build 3 huts in 21 days.Find the number of people,working at the same rate that will build 6 similar huts in 15days.
Five people can build 3 huts in 21 days.Find the number of people,working at the same rate that will build 6 similar huts in 15days.
Date posted: April 9, 2019
- Two alloys,A and B,are each made up of copper,zinc znd tin.In alloy A,the ratio of copper to zinc is 3:2 and the ratio of zinc to tin is 3:5.
Two alloys,A and B,are each made up of copper,zinc znd tin.In alloy A,the ratio of copper to zinc is 3:2 and the ratio of zinc to tin is 3:5.
a)Determine the ratio, copper:zinc:tin in alloy A.
b)The mass of alloy A is 250kg.Alloy B has the same mass as alloy A but the amount of copper is 30% less than that of alloy A,Calculate.
i)The mass of tin in alloy A
ii)The total mass of zinc and tin in alloy B.
c)Given that ratio of zinc to tin in alloy B is 3:8,determine the amount of tin in alloy B than in alloy A.
Date posted: April 10, 2019
- A farmer had 540 bags of maize each having a mass of 112kg.After drying the maize,the mass decreased in the ratio 15:16.
A farmer had 540 bags of maize each having a mass of 112kg.After drying the maize,the mass decreased in the ratio 15:16.
a)Calculate the total mass lost after the maize was dried.
b)A trader bought and repacked the dried maize in 90kg bags.He transported the maize in a lorry which could carry a maximum of 120 bags per trip.
i)Determine the number of the trips the lorry made.
ii)The buying price of a 90kg bag of maize was ksh 1,500.The trader paid ksh 2,500 per trip to transport the maize to the market.He sold the maize and made a profit of 26%.Calculate the selling price of each bag of the maize.
Date posted: April 10, 2019
- Three partners Amina,Bosire and Karuri contributed a total of ksh 4800000 in the ratio 4:5:7 to buy an 8 hectares piece of land.
Three partners Amina,Bosire and Karuri contributed a total of ksh 4800000 in the ratio 4:5:7 to buy an 8 hectares piece of land.The partners set aside 14 of the land for social amenities and sub-divided the rest into 15m by 25m plots.
a)Find
i)the amount contributed by Karuri.
ii)the number of plots that were obtained.
b)The partners sold the plots at Ksh 50,000 each and spent 30% of the profit realized to pay for administrative costs.They shared the rest of the profit in the ratio of their contributions .
i)Calculate the net profit realized.
ii)Find the difference in the amount of profit earned by Amina and Bosire.
Date posted: April 10, 2019
- Three business partners Abila,Bwire and Chirchir contributed Ksh 120,000, Ksh 180,000 and Ksh 240,000 respectively, to boast their business.
Three business partners Abila, Bwire and Chirchir contributed ksh 120,000,ksh 180,000 and ksh 240,000 respectively,to boast their business.They agreed to put 20% of the profit accrued back into the business and to use 35% of the profit for running the business(official operations).The remainder was to be shared among the business partners in the ratio of their contribution.At the end of the year,a gross profit of ksh.225,000 was realized.
a)Calculate the amount:
i)Put back into the business.
ii)Used for official operations.
b)Calculate the amount of profit each partner got.
c)If the amount put back into the business was added to individuals’s shares proportionately to their initial contribution,find the amount of chirchir’s new shares.
Date posted: April 10, 2019