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- A and B are towns 360km apart. An express bus departs from A at 8am and maintain an average speed of 90km/h between A and...(Solved)
A and B are towns 360km apart. An express bus departs from A at 8am and maintain an average speed of 90km/h between A and B. Another bus starts from B also at 8am and moves towards A making four stops at four equally spaced points between B and A. Each stop is of duration 5 minutes and the average between any two spots is 60km/h. Calculate the distance between the two buses at 10am.
Date posted: August 23, 2019. Answers (1)
- Without using logarithms table or calculator, solve for x in:
log 5 – 2 + log(2x + 10) = log (x - 4)(Solved)
Without using logarithms table or calculator, solve for x in:
log 5 – 2 + log(2x + 10) = log (x - 4)
Date posted: August 23, 2019. Answers (1)
- A carpenter makes two types of chairs for Keroka Secondary School. To make type A chair it requires 6 man – hours where as a...(Solved)
A carpenter makes two types of chairs for Keroka Secondary School. To make type A chair it requires 6 man – hours where as a type B requires 4 man – hours. The cost of material for type A is sh 120 and that for type B is sh100. The profit on type A is sh 80 and profit on type B is sh 60. The carpenter has to abide by the following conditions
(i) A contract to supply 15 of type A and 10 of type B per week has to be fulfilled
(ii) Only 300 man – hours are available in each week.
(iii) Total weekly cost of material for all chairs should not exceed sh 6000
If type A and type B chairs were x and y per week respectively.
(a) Write down the inequalities satisfying these conditions
(b) Represent this information on a grid and show the region by shading out the unwanted.
(c) What values of x and y will give maximum profit. Determine this maximum profit.
Date posted: August 23, 2019. Answers (1)
- Simplify completely(Solved)
Simplify completely
Date posted: August 23, 2019. Answers (1)
- A bank either pays simple interest as 5% p.a or compound interest as 5% p.a on deposits. (Solved)
A bank either pays simple interest as 5% p.a or compound interest as 5% p.a on deposits. Nekesa deposited Ksh. P in the bank for two years on simple interest terms, if she had deposited the same amount for two years on compound interest terms, she would have earned Ksh. 210 more. Find the value of P.
Date posted: August 23, 2019. Answers (1)
- The length of a hollow cylindrical pipe is 6meters. Its external distance is 11cm and has a thickness of 1cm. Calculate the volume in cm3 of...(Solved)
The length of a hollow cylindrical pipe is 6meters. Its external distance is 11cm and has a thickness of 1cm. Calculate the volume in cm3 of the material used to make the pipe.
Date posted: August 23, 2019. Answers (1)
- Mr Ondati is a salaried civil servant. He earns a basic monthly salary of sh. 20,640, a house allowance of sh. 6,800p.m and medical allowance...(Solved)
Mr Ondati is a salaried civil servant. He earns a basic monthly salary of sh. 20,640, a house allowance of sh. 6,800p.m and medical allowance of sh. 2800p.m. He claims a family relief of sh. 400p.m. He pays sh. 300 per month and 2% of his salary towards water bills and NHIF respectively.
Calculate his net monthly salary in Ksh using the tax rates shown in the table below.
Date posted: August 23, 2019. Answers (1)
- In the figure below the diameter AB of the circle is parallel to DC. DCE is a straight line and angle BCE = 630. Calculate...(Solved)
In the figure below the diameter AB of the circle is parallel to DC. DCE is a straight line and angle BCE = 630. Calculate the angle DBC.
Date posted: August 23, 2019. Answers (1)
- A bus and a matatu starts from Nairobi to Kisii via Narok at the same time making a distance of 280km. The matatu average is 20km/h...(Solved)
A bus and a matatu starts from Nairobi to Kisii via Narok at the same time making a distance of 280km. The matatu average is 20km/h faster than the bus and reaches there 1 hour 36 minutes earlier. Determine the speed of the bus.
Date posted: August 23, 2019. Answers (1)
- A line L1 is perpendicular to the line 2y + 3x = 6. Determine the acute angle made by the line L1 and the x...(Solved)
A line L1 is perpendicular to the line 2y + 3x = 6. Determine the acute angle made by the line L1 and the x – axis
Date posted: August 23, 2019. Answers (1)
- Given that (5m – 2n) : (2m – n) = 7:5. find the ratio m:n(Solved)
Given that (5m – 2n) : (2m – n) = 7:5. find the ratio m:n
Date posted: August 23, 2019. Answers (1)
- A book seller distributed cartons of books as follows, one school received 1/3 of the cartons he had in the stock. A second school received a...(Solved)
A book seller distributed cartons of books as follows, one school received 1/3 of the cartons he had in the stock. A second school received a quarter of the remainder. A third school received a third of what the second school received. What remained was not more than 42 cartons. How many cartons did the second school receive.
Date posted: August 23, 2019. Answers (1)
- The sides of a triangle were measured to 1 decimal place as 6.5cm, 7.4cm and 8.2cm respectively.Calculate the percentage error in its perimeter(Solved)
The sides of a triangle were measured to 1 decimal place as 6.5cm, 7.4cm and 8.2cm respectively.Calculate the percentage error in its perimeter
Date posted: August 23, 2019. Answers (1)
- Make A the subject of the formula(Solved)
Make A the subject of the formula
Date posted: August 23, 2019. Answers (1)
- Without using mathematical tables or calculator, evaluate(Solved)
Without using mathematical tables or calculator, evaluate
Date posted: August 23, 2019. Answers (1)
- A cooker is valued at Ksh. 8000. If it appreciated by 10% in the first year, 12% in the second yearand then 8% per annum...(Solved)
A cooker is valued at Ksh. 8000. If it appreciated by 10% in the first year, 12% in the second year and then 8% per annum in the subsequent years, determine its value at the end of 4 years.
Date posted: August 23, 2019. Answers (1)
- A water pipe running through the subdivision XPY is parallel to XY and divides the area in the ration 4:5 where the bigger portion is...(Solved)
A water pipe running through the subdivision XPY is parallel to XY and divides the area in the ration 4:5 where the bigger portion is a trapezium. Calculate the distance of the pipe from P.
Date posted: August 23, 2019. Answers (1)
- Given that the equation of a curve is(Solved)
Given that the equation of a curve is
(i) Find the function of the gradient of the curve and its value when 
(ii) Determine the equation of the normal to the curve at the point (-2, 3)
Date posted: August 23, 2019. Answers (1)
- Given the expression (Solved)
Given the expression
Find the values of a, b and c.
Date posted: August 23, 2019. Answers (1)
- Use logarithms tables to evaluate(Solved)
Use logarithms tables to evaluate
Date posted: August 23, 2019. Answers (1)