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

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