Question:
An electric cable cost 200 rupees.If the cable was 3 metres longer and each metre of cable cost rupee 2 less, the cost of cable would have unchanged. Represent the above situation in the form of a quadratic equation.
Answer:
Let the length of the piece of electric cable = x
Then cost per meter = 200/x
Now, length of electric cable = x + 3
Given, cost of the piece of the electric cable is unchanged
So, new cost per meter = 200/(x + 3)
According to question,
200/x - 200/(x + 3) = 2
=> {200(x + 3) - 200x}/{x(x + 2)} = 2
=> 200x + 600 - 200x = 2x(x + 2)
=> 600 = 2(x2 + 2x)
=> x2 + 2x = 600/2
=> x2 + 2x = 300
=> x2 + 2x - 300 = 0
This is the required equation.
Not what you are looking for? Go ahead and submit the question, we will get back to you.
