In this page quadratic equation practical solution9 we are going to see solution of practice question of the worksheet quadratic equation practical application.

Question 9:

A takes less than the time taken by B to finish the piece of work. If both A and B together can finish the work in 4 days. Find the time that B would take to finish the work by himself.

Solution:

Let x be the tune taken by B to finish the work

So (x – 6) be the time taken by to finish the work.

Work done by A in one day = 1/x

Work done by B in one day = 1/(x - 6)

Number of days taken by both to finish the work = ¼

1/x + 1/(x-6) = ¼

[(X – 6 + x)]/[x(x-6)] = ¼

(2 x -6)/x² – 6 x = ¼

4 (2 x -6) = x² – 6 x

8 x – 24  = x² – 6 x

x²– 6 x – 8 x + 24 = 0

x² – 14 x + 24 = 0

x² – 12 x – 2 x + 24 = 0

x (x – 12) – 2 (x – 12) = 0

(x – 2) (x – 12)= 0

x – 2 = 0                     x- 12 = 0

x = 2                           x = 12

So B is taking 12 days to finish the work

Question 6     Question 7     Question 8     Question 10 Quote on Mathematics

“Mathematics, without this we can do nothing in our life. Each and everything around us is math.

Math is not only solving problems and finding solutions and it is also doing many things in our day to day life.  They are:

It divides sorrow and multiplies forgiveness and love.

Some people would not be able accept that the subject Math is easy to understand. That is because; they are unable to realize how the life is complicated. The problems in the subject Math are easier to solve than the problems in our real life. When we people are able to solve all the problems in the complicated life, why can we not solve the simple math problems?

Many people think that the subject math is always complicated and it exists to make things from simple to complicate. But the real existence of the subject math is to make things from complicate to simple.” 