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Ashoke and Ravi stood before a plane mir...

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.

A

`5.5` m

B

`4.5` m

C

`7.5`m

D

`6.5` m

Text Solution

Verified by Experts

The correct Answer is:
D
Intially 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 mirror , his distance from the mirrorr ` = 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 `
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