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Paul travels from Rye to Eston at an average speed of 90 km/h. He travels for T hours. Mary makes the same journey at an average speed of 70 km/h. She travels for 1 hour longer than Paul. Work out the value of T

As distance is equal to speed multiplied by time, the distance Paul has traveled is 90 multiplied by T, or 90T. As Mary is making the same journey, she travels the same distance. The distance she travels is ...
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Answered by Guy L. • Maths tutor
13769 Views

How do I simplify a surd?

To simplify a surd, remember that sqrt(a*b) = sqrt(a) sqrt(b) If either a or b are square numbers, you can simply write its square root. Hence, to simplify a surd, you must look for any factors of the number...
HM
Answered by Hayden M. • Maths tutor
8089 Views

What are simultaneous equations and how do I solve them?

E.g you have 2 equations and have to set them equal to each other. 2x + 3y = 6 -3x + y = 2 multiply first equation by 3, second by 2 to get 6 x + 9y = 18 -6 x + 2y = 4 11 y = 22 y = 2 -6x + 2(2) = 4 -6x = 0 ...
SK
Answered by Susanne K. • Maths tutor
5592 Views

In integration, what does the +c mean and why does it disappear if you have limits?

When you differentiate, the constant disappears, because it is not dependent of the variable. So when you integrate, you have to add the constant again. However, you can't know the vaulue of c without being ...
SK
Answered by Susanne K. • Maths tutor
11193 Views

What if my equation doesn't factorise?

For all quadratic equations, you can use the quadratic formula . Given an equation of the form ax 2 +bx+c , you can plug those values into this formula: x 1 , x 2 = (-b +/- sqrt(b 2 - 4ac)) / 2a Note: the te...
HM
Answered by Hayden M. • Maths tutor
5019 Views