Ashoke and Ravi stood before a plane mirror at a distance of 3 m from it. Ashok walked 5 steps towards the mirror, each step measuring 30 cm. Ravi walked 8 steps away from the mirror, each step measuring 25 cm. The distance between Ravi and the image of Ashoke in the mirror is ______ m.

Options

A. 5.5 m
B. 4.5 m
C. 7.5 m
D. 6.5 m

Answer

D

Explanation

Initially Ashok and Ravi stand at a distance of 3 m from the mirror.
After Ashok moved 5 steps towards the mirror, then his distance from the mirror =3m -5(30) cm
=3 m=-1.5 m
`=1.5 m`.
After Ravi moved away from the mirro, his distance from the mirror =3m + 8(25) cm
=3m + 2m =5 m
Therefore , the distance between Ravi and the image of Ashok
=1.5 m + 5 m =6.5 m.
Hence, the correct option is (d)