Get premium membership and access questions with answers, video lessons as well as revision papers.
a) Volume = 135 x 5 = 675 m3
1 m3 = 1000 litres
675 m3 = 675 x 1000 = 675,000 litres
b) Time taken to fill the tank
$\frac{675,000}{25 x 60 x 60}$ = 7 hours 30 minutes
The time the tank will be completely full = 10:00 pm + 7 hrs 30 min = 5:30 am
In 24 hour system = 0530 hrs
raphael answered the question on January 9, 2017 at 14:49
- Calculate the angle the line 2x - 4y = 1 makes with the x-axis.(Solved)
Calculate the angle the line 2x - 4y = 1 makes with the x-axis.
Date posted: January 9, 2017. Answers (1)
- Find the value of x when y = 6(Solved)
A quantity x varies partly as the cube of y and partly varies inversely as the square of y. When y = 2, x = 108 and when y = 3, x = 259. Find the value of x when y = 6.
Date posted: January 6, 2017. Answers (1)
- How long would five men working 4 hours a day take to dig a trench 45 m long?(Solved)
Three men working for 8 hours a day take 6 days to dig a trench 9 m long. How long would five men working 4 hours a day take to dig a trench 45 m long?
Date posted: January 6, 2017. Answers (1)
- Expand the expression $(2 - \frac{1}{5}x)^4 $ upto the term x3(Solved)
Expand the expression $(2 - \frac{1}{5}x)^4 $ upto the term x3 and use the expansion to find the value of 1.964
Date posted: January 6, 2017. Answers (1)
- Find the value of x in;(Solved)
Log (x - 2) + Log (x + 1) = 1 + Log 4
Date posted: December 24, 2016. Answers (1)
- Evaluate the following leaving your answer in surd form(Solved)
$\frac{3}{2\sqrt 5 - \sqrt 7} - \frac {2}{2\sqrt 5 + \sqrt 7}$
Date posted: December 24, 2016. Answers (1)
- Solve the equation below(Solved)
$4 sin^2x + 4cos x = 5\ for\ 0^\circ \le x \le 360^\circ$
Give your answer in degrees.
Date posted: December 24, 2016. Answers (1)
- Find all the integral values of x(Solved)
Find all the integral values of x which satisfy Find all the integral values of x which satisfy $7\ge 4 - 3x \gt -2 $
Date posted: December 24, 2016. Answers (1)
- Find the values of a and b(Solved)
The gradient of the curve y=x2 + ax + b at point (2, 6) is 7. Find a and b.
Date posted: December 17, 2016. Answers (1)
- For how long did Moses stay with the car?(Solved)
Mr. Moses bought a new car for Ksh. 900,000 which depreciated at a constant rate of 8.5% per annum. After sometime, he sold it to a second hand car dealer at Ksh. 600,000. How long did he stay with the car?
Date posted: December 17, 2016. Answers (1)
- Make y the subject of the formula.(Solved)
$T=2\pi\sqrt\frac{x^2\ +\ y^2}{gx}$
Date posted: December 17, 2016. Answers (1)
- How much did Mutua get from the sale of a car?(Solved)
Mutua bought a used car at Ksh. 500,000. He spent further Ksh. 75,000 on it for repairs and modification. He then sold it at 20% profit. How much did he get from the sale?
Date posted: December 16, 2016. Answers (1)
- How much did Maina pay for a bag of potatoes?(Solved)
If Maina sells a bag of potatoes for Ksh. 520, he makes a profit. If he had to sell the bag for ksh. 420, he would make a loss. If the profit is three times the loss, find how much he paid for the bag of potatoes?
Date posted: December 16, 2016. Answers (1)
- What was the salesman's total earnings for that month?(Solved)
A salesman earns a basic salary of Ksh. 22,000 per month. In addition he was paid a commission of 2% for goods worth above Ksh. 60,000 but not more than Ksh. 90,000 and a commission of 3% for goods over Ksh. 90,000. In a certain month, he sold goods worth Ksh. 150,000. What was his total earnings for that month?
Date posted: December 16, 2016. Answers (1)
- Find the value of K in from the following(Solved)
A line which joins the points A(3, K) and B(-2, 5) is parallel to another line whose equation is 5y + 2x = 10. Find the value of K.
Date posted: December 16, 2016. Answers (1)
- Find the length of the side of the square(Solved)
One side of a square is increased by 4 cm while the other side is reduced by 6 cm. The area of the rectangle so formed is 24 cm2. Find the length of the side of the square.
Date posted: December 16, 2016. Answers (1)
- Find the value of x and y from the equation below.(Solved)
Given that $9^{2x}\times \ 2^y = 72$. Find the value of x and y.
Date posted: December 16, 2016. Answers (1)
- Simplify the following completely(Solved)
$\frac{a^2 + a - 3ab - 3b}{(a + 1)(3b^2 - ab)}$
Date posted: December 16, 2016. Answers (1)
- Find how far from town A the two buses X and Y meet(Solved)
Two buses X and Y leave town A and B which are 60 km apart at an average speed of 70 km/hr and 30 km/hr respectively. Find how far from town A do the buses meet.
Date posted: December 16, 2016. Answers (1)