A man walks (12x^2+11x+2) km for (3x+2) hours. What is his speed per hour?

Question

asked Sep 19, 2021 49.0k views

1 Answer

Jhoelz · Answer 1 · 2021-09-24T15:54:14+0000

Explanation:

Hey there!

Distance = 12x^2+11x+2.

And Time = 3x+2 hours.

Now;

speed = (distance)/(time)

Put all values.

$s = \frac{12 {x}^(2) + 11x + 2}{3x + 2}$

Use mid term factorization is numerator and simplify them to get answer.

$s = \frac{12 {x}^(2) + (8 + 3) x+2 }{3x + 2}$

$s = \frac{12 {x}^(2) + 8x + 3x + 2 }{3x + 2}$

s = (4x(3x + 2) + 1(3x + 2))/((3x + 2))

s = ((4x + 1)(3x + 2))/((3x + 2))

s = (4x + 1)

Therefore the speed is (4x+1)/hr.

Hope it helps..