Let the distance be x km
therefore by bus = $\frac{4}{5}x$ km
By matatus = $\frac{2}{3}$ x $\frac{1}{5}x$ = $\frac{2}{15}x$
Walked = x - ($\frac{4}{5}x$ + $\frac{2}{15}x$)
= x - $\frac{14}{15}x$ = $\frac{1}{15}x$
$\frac{4}{5}x$ - $\frac{1}{15}x$ = 55
$\frac{12x - x}{15}$ = 55; $\frac{11}{15}x$ = 55
therefore x = $\frac{55\times 15}{11}$ = 75 km
johnmulu answered the question on March 2, 2017 at 13:41
- Without using tables, find the value of $\frac{P}{Q}$ when P = 1.44 x 10-6(Solved)
Without using tables, find the value of $\frac{P}{Q}$ when P = 1.44 x 10-6 and Q = 4.8 x 10-4 giving your answers in the form A x 10n where A is A number between 1 to 10 and n is an integer.
Date posted: March 2, 2017. Answers (1)
- Find the L.C.M. of x2 - xy - 12y2 and x - 4y, Hence simplify(Solved)
Find the L.C.M. of x2 - xy - 12y2 and x - 4y, Hence simplify
$\frac{7}{x^2 - xy + 12y^2}$ - $\frac{1}{x - 4y}$
Date posted: March 2, 2017. Answers (1)
- Heline left town A at 8. 00 a.m and traveled towards town B at an average speed of 64 km/hr. Half an hour later Joyce left town B and traveled towards town A at the same speed. If the two towns are 384 km apart:(Solved)
Heline left town A at 8. 00 a.m and traveled towards town B at an average speed of 64 km/hr. Half an hour later Joyce left town B and traveled towards town A at the same speed. If the two towns are 384 km apart:
a) At what time did they meet?
b) How far from town B was their meeting point?
c) How far apart were they at 10.30 a.m?
Date posted: March 2, 2017. Answers (1)
- a) Divide 1 000 cm3 in the ratio of(Solved)
a) Divide 1 000 cm3 in the ratio of $\frac{1}{4}$: $\frac{1}{2}$: $\frac{1}{5}$ leaving your answer nearest to 1 cm
b) In an experiment, a boy mixed some acid solution 45% concentration with an acid solution. In what portion should the two acids be mixed in order to get 100 cm3 of solution of 30% concentration?
c) Two blends of tea costing sh 140 and sh 160 per kilogram respectively are mixed in the proportion of 2:3 by mass. The mixture is sold at sh 240 per kilogram. Find the percentage gain
Date posted: March 2, 2017. Answers (1)
- Water flows through a circular pipe of cross-sectional area 6.16 cm2 at a uniform speed of 10 cm/sec. At 6. 00 a.m water starts flowing through the pipe into an empty tank of base area 3 m2.(Solved)
Water flows through a circular pipe of cross-sectional area 6.16 cm2 at a uniform speed of 10 cm/sec. At 6. 00 a.m water starts flowing through the pipe into an empty tank of base area 3 m2.
a) What is the depth of the water in the tank at 8.30 a.m
b) If the tank is 1.2 m high, and a hole at the bottom through which water leaks at a rate of 11.6 cm 3 per second, determine the time at which the tank will be filled.
Date posted: March 2, 2017. Answers (1)
- ABCD is a parallelogram with A(1,1) and C(8, 10). The equation of AB is 4x - 5y = -1 and the equation of BC is 5x - 2y = 20. Determine(Solved)
ABCD is a parallelogram with A(1,1) and C(8, 10). The equation of AB is 4x - 5y = -1 and the equation of BC is 5x - 2y = 20. Determine
a) The coordinates of M, where M is the midpoint of intersection of the diagonals
b) The coordinates of the vertices B and D
Date posted: March 2, 2017. Answers (1)
- Point A(4, 4) maps onto point A1 (8, 10) under enlargement with linear scale factor 3. Find the coordinates of the centre of enlargement.
(Solved)
Point A(4, 4) maps onto point A1 (8, 10) under enlargement with linear scale factor 3. Find the coordinates of the centre of enlargement.
Date posted: March 2, 2017. Answers (1)
- Determine the angle of elevation of the top of the building from A.(Solved)
A man walks directly from point A towards the foot of a tall building 240 m away. After covering 180 m, he observes that the angle of elevation of the building is 45o. Determine the angle of elevation of the top of the building from A.
Date posted: March 2, 2017. Answers (1)
- In order to complete a journey of 56 km, John walks for 1 hour at an average speed of V km/hr and then cycles for two hours at an average speed which is three times his walking speed. Calculate(Solved)
In order to complete a journey of 56 km, John walks for 1 hour at an average speed of V km/hr and then cycles for two hours at an average speed which is three times his walking speed. Calculate:
a) V
b) The average speed in km/hr for the whole journey
Date posted: March 2, 2017. Answers (1)
- In order to complete a journey of 56 km, john walks for 1 hour at an average speed of V km/hr at an..(Solved)
In order to complete a journey of 56 km, john walks for 1 hour at an average speed of V km/hr at an average speed of V km/hr and then cycles for two hours at an average speed which is three times his walking speed. Calculate:
(a) V
(b) The average speed in km/hr for the whole journey
Date posted: February 15, 2017. Answers (1)
- Evaluate the following without using mathematical tables(Solved)
Evaluate the following without using mathematical tables.
$\frac{\frac{1}{2}\;of -8 \div 4 - 7}{\sqrt 2(\sqrt 2 - 3 \sqrt 2)}$
Date posted: January 26, 2017. Answers (1)
- Solve the following inequalities and represent the solutions on a number line(Solved)
Solve the following inequalities and represent the solutions on a number line.
$3 - 2x \le 5$
$4 - 3x \gt -8$
Date posted: January 26, 2017. Answers (1)
- Simplify the following expression completely(Solved)
Simplify the following expression completely
$\frac{2x^2\, - \,98}{3x^2\, - \,+ \,5x\, - \,35} \div \frac{x\, + \,7}{3x\, + \,5}$
Date posted: January 24, 2017. Answers (1)
- An exchange bureau charges 5% commission for any transaction they do. An american tourist received Sh 408,000(Solved)
An exchange bureau charges 5% commission for any transaction they do. An american tourist received Sh 408,000 when the exchange rates were as shown below
1 U.S Dollar----Buying: Sh 77.32---Selling Sh 77.86
Date posted: January 24, 2017. Answers (1)
- Write an expression in terms of x and y for the total value of a two digit number(Solved)
(a) Write an expression in terms of x and y for the total value of a two digit number having x as the tens digit and y as the the units digit.
(b) The number in (a) above is such that three times the sum of its digits is less than the value of the number by 8. When the digits are reversed the value of the number increases by 9. Find the number.
Date posted: January 24, 2017. Answers (1)
- Three ladies Agnes, Betty and Cate contributed a total amount of sh 21,000 to start a saloon. The ratio of Agnes to Betty was 3:5 and that of Betty to Cate was 2:1.(Solved)
Three ladies Agnes, Betty and Cate contributed a total amount of sh 21,000 to start a saloon. The ratio of Agnes to Betty was 3:5 and that of Betty to Cate was 2:1. How much did Betty contribute?
Date posted: January 24, 2017. Answers (1)
- Simplify the equation $\frac{(wx - xy - wz + yz)(w + z)}{z^2 - w^2}$(Solved)
Simplify the equation $\frac{(wx - xy - wz + yz)(w + z)}{z^2 - w^2}$
Date posted: January 23, 2017. Answers (1)
- The angle of elevation of the highest point of a building from two points S and T are 60o and 30o(Solved)
The angle of elevation of the highest point of a building from two points S and T are 60o and 30o.T is vertically above S and ST = 10 m. Calculate the height of the building above the level S.
Date posted: January 20, 2017. Answers (1)
- ABCD is a rhombus whose diagonals BD and AC intersect at O. If BD = 10 cm and AC = 6 cm(Solved)
ABCD is a rhombus whose diagonals BD and AC intersect at O. If BD = 10 cm and AC = 6 cm, find the angles of the rhombus.
Date posted: January 20, 2017. Answers (1)
- Simplify $\frac{2a^2 - 3ab - 2b^2}{4a^2 - b^2}$(Solved)
Simplify $\frac{2a^2 - 3ab - 2b^2}{4a^2 - b^2}$
Date posted: January 20, 2017. Answers (1)