An object moves the first half of the total distance with a speed of 2 m `s^(-1)` . If the average of the body is ` 3m s ^(-1)` , the speed of the body when it travelles the remaining distance is _______ ` m s^(-1)`

Options

A. 3
B. 6
C. 4
D. 2

Explanation

Let the total distance be 2 d
Then, `(d)/(t_(1))=2" "(1)`
`(d)/(t_(2))=x,`
`(2d)/(t_(1)+t_(2))=3rArrd=(3(t_(1)+t_(2)))/(2)=rArrt4t_(1)=3t_(1)+3t_(2)`
`t_(1)=3t_(2):. (d)/(t_(1//3))=xrArr(3d)/(t_(1))=x`
From (1),
`3(2)=x`
`x=6 m s^(-1)`