Question

A person is in a car moving at certain speed, between two hills separated by 2500m. When the car is
at a distance of 1500m from one of the hills, He gives a loud clap. He hears two echoes with
duration of 5 s of each other. Given the speed of sound to be 350 m/s. Given that the car is headed
towards the hill B, what is the speed of the car?

Answer 1

Answer:

First of all thank❤ you so much for such a tough question!!

meri toh dimag blast hi ho gayi is maths ka answer bahar karte karte ˃⌓˂ !

I tried a lot to find the answer but I am failed..(in attachment ❤)

ji ap akbar aye question recheck karo

thodi garbadi hai sayad..

Explanation:

${\sf{\bf{\blue{@ℐᴛz rouza࿐}}}}$

$\boxed{\text{❥thank \: uh..♡}}$

Answer 2

Let α  and  β are  zeroes  of  the  polynomial  = x²  - (k  +  6)x  +  2(2k  –1).

On comparing with ax²+bx+c=0

a= 1, b= -( k+6) , c = 2(2k  –1)

Sum of zeroes (α+β)= -b/a = -(-(k+6))/1

α+β= (k+6)…………....(1)

Product of zeros(α.β)= c/a = 2(2k  –1)/1

α.β= c/a = 4k -2…………(2)

Given:  (α+β) = ½(αβ )

(k+6) = ½( 4k -2)

[From eq 1 & 2]

2 (k +6 )= 4k -2

2k +12 = 4k -2

2k -4k = -2 -12

-2k = -14

k = 14/2

k = 7

Hence, the value of k is 7

HOPE THIS WILL HELP YOU...