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Lily goes on a car journey. For the first 30 min. her average speed is 40 mph. She then stops for 15 min. She then completes the journey at an average speed of 60 mph. The total journey time is 1 h. What is her overall average speed?

average speed=total distance/time taken ; distance=speed x timeFor the first part of her motion the distance she travelled, d 1 =40 x 1/2 (as 30 minutes represent half an hour), so d 1 =20 milesFor the secon...
SJ
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A shape consists of a quarter circle (radius r = 4cm) attached to a triangle (side length = 4cm and hypotenuse = 5cm). This shape is surrounded by a square (side length 8cm). If the shape is coloured in, what is the area in the square that is uncoloured?

Draw out what the question says. Geometric problems are easier to solve when they can be visualised. First calculate the area of the quarter circle: A = 1/4 \pi r^2Use Pythagoras to calculate the base length...
TA
Answered by Tom A. • Maths tutor
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A,B and C all lie on the line x^2 + y^2 = 49 where A is on the y axis, B is on the X axis and C is the mid point of the straight-line connecting A and B.

As we know that A and B are on the axis so sub in X=0 and Y=0 into the equation to solve for the co-ordinates A and B.For A 0 2 +y 2 =49y= square root of 49 = 7Do the same for B, which gives: A= (0,7) B= (7,...
OW
Answered by Oliver W. • Maths tutor
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How can i understand fractions?

Fractions can be easily understood by thinking of how to split n numbers of pizzas between d people. Through this we see that everyone gets (n/d) pizzas
TW
Answered by Tomos W. • Maths tutor
3217 Views

Solve the simultaneous equations; 3x + 2y = 11 x -4y = 13

Rearrange to get either y or x as the subject of the equation and then solve the equation by doing this. This is called eliminating one variable (x or y) substitute the found value into either equation state...
Answered by • Maths tutor
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