Get premium membership and access questions with answers, video lessons as well as revision papers.
Assuming the second girl overtakes the first girl at distance x;
therefore at x, Second girl covers x metres at 12m/s,
Distance= xm
Speed= 12m/s
Time= Distance/Speed
= xm/12m/s
=(x/12)s
After (x/12) seconds, First will cover (x-15)m at 8m/s,
therefore;
Distance= (x-15)m
Speed= 8m/s
Time= (x/12)s
but Distance= Speed*Time
(x-15)m= 8m/s*(x/12)s
12x-180= 8x
12x-8x= 180
4x= 180
x= 45
x= 45m.
The second girl will overtake the first girl at 45m.
Andreaz answered the question on August 20, 2018 at 13:53
- A manufacturer makes two products, product Q and product M. The cost of making 15 units of product Q and 10 units of product M is sh...(Solved)
A manufacturer makes two products, product Q and product M. The cost of making 15 units of product Q and 10 units of product M is sh 600. The cost of making 5 units of product Q and 8 units
of product M is sh 340. Determine the cost of making each product.
Date posted: August 8, 2018. Answers (1)
- A carpenter wishes to make a ladder with 15 cross pieces. The cross pieces are diminished uniformly in lengths from 67cm at the bottom to...(Solved)
A carpenter wishes to make a ladder with 15 cross pieces. The cross pieces are diminished uniformly in lengths from 67cm at the bottom to 32 at the to. Calculate the length in cm of the seventh cross piece
Date posted: July 11, 2018. Answers (1)
- Solve the equation using quadratic formula x^2-3x+2=0(Solved)
Solve the equation using quadratic formula x^2-3x+2=0
Date posted: July 3, 2018. Answers (1)
- Solve using factor method 4x^2+20x+9=0(Solved)
Solve using factor method 4x^2+20x+9=0
Date posted: July 3, 2018. Answers (1)
- Solve the simultaneous equation xy=160, Log x- 3log y=1(Solved)
Solve the simultaneous equation
xy=160
Log x- 3log y=1
Date posted: July 3, 2018. Answers (1)
- If for a random variable x, the E(x) is given as 0.24Find E(2x+3)(Solved)
If for a random variable x, the E(x) is given as 0.24 Find E(2x+3)
Date posted: June 25, 2018. Answers (1)
- Convert the polar point (2,p/3) into Cartesian coordinate(Solved)
Convert the polar point (2,p/3) into Cartesian coordinate.
Date posted: June 25, 2018. Answers (1)
- Peter owns a small farm and grows mangoes and pineapples.After one harvest she increased her mango supply by 50% but also sold half of her pineapples.Given...(Solved)
Peter owns a small farm and grows mangoes and pineapples.After one harvest she increased her mango supply by 50% but also sold half of her pineapples.Given that she has a net loss of 10 fruits after the harvest and that she has the same number of mangoes as pineapples after the harvest,how much fruit did she initially have?
Date posted: May 31, 2018. Answers (1)
- A box contains 6 blue plates and 4 yellow plates, 2 plates are picked from the box one after the other without replacement a) Draw the probability...(Solved)
A box contains 6 blue plates and 4 yellow plates, 2 plates are picked from the box one after the other without replacement
a) Draw the probability tree?
b) what is the probability of picking :
1)the first plate blue and the second plate yellow
2)both plates yellow
3)1 blue plate and one yellow plate
4)2 plates of the same color.
5)At least 1 blue plate.
Date posted: May 12, 2018. Answers (1)
- State and briefly describe five methods of probability sampling.(Solved)
State and briefly describe five methods of probability sampling.
Date posted: April 27, 2018. Answers (1)
- State the steps involved in solving linear problems using the graphical method.(Solved)
State the steps involved in solving linear problems using the graphical method.
Date posted: April 27, 2018. Answers (1)
- State the first law of probability(Solved)
State the first law of probability
Date posted: April 27, 2018. Answers (1)
- A line passes through (-2,5) and has a gradient of - 3/4. Another line Q is directly perpendicular to P and meets it at a...(Solved)
A line passes through (-2,5) and has a gradient of - 3/4. Another line Q is directly perpendicular to P and meets it at a point where Y=1/2. Find equation of Q.
Date posted: April 27, 2018. Answers (1)
- The sum of an interior angle of two regular polygons of sides n and n+2 are in the ratio 3:4.calculate the sum of interior angles of...(Solved)
The sum of an interior angle of two regular polygons of sides n and n+2 are in the ratio 3:4. Calculate the sum of interior angles of the polygons with n sides.
Date posted: April 25, 2018. Answers (1)
- Find the value of p that the quadratic expression x^2-3x+p=0 have one real root(Solved)
Find the value of p that the quadratic expression x^2-3x+p=0 have one real root.
Date posted: April 18, 2018. Answers (1)
- Two similar cans have different heights 8cm and the other one 10cm.If the surface area of the larger can is 480cm2,find the surface area of...(Solved)
Two similar cans have different heights 8cm and the other one 10cm.If the surface area of the larger can is 480cm2,find the surface area of the smaller can.
Date posted: April 17, 2018. Answers (1)
- Solve: (a) (2*)3 = 21 2 (b) (43 ) x = 64(Solved)
Solve: (a) (2*)3 = 21 2 (b) (43 ) x = 64
Date posted: April 13, 2018. Answers (1)
- Evaluate: (a) 26 x 24 (b) 31 0 + 34 (c) (52 ) 3(Solved)
Evaluate: (a) 26 x 24 (b) 31 0 + 34 (c) (52 ) 3
Date posted: April 13, 2018. Answers (1)
- Use tables to find the cube of each of the following: (a) 1.8 (b) 2.12 (c) 3.254 (d) 0.76(Solved)
Use tables to find the cube of each of the following:
(a) 1.8 (b) 2.12 (c) 3.254 (d) 0.76
Date posted: April 13, 2018. Answers (1)
- Find the cube of 1.4.(Solved)
Find the cube of 1.4.
Date posted: April 13, 2018. Answers (1)