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Ravish covers $3 x 2 y$ centimetres in one step. Then the distance moved by him in $2 x y 2$ minutes, if he takes $x y$ steps in one minute from the options is:

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6 x 2 y 2

3 x 4 y 4

6 x 4 y 4

3 x 4 y 4

answer is C.

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Detailed Solution

Given that, Ravish covers

3 x^{2} y

centimeters in one step.
The number of steps covered in

1

minute = xy.
Also given that the number of centimeters covered in

1

step

= 3 x 2 y

.
Therefore the number of steps covered in 2

x y 2

minutes

= 2 x y 2 × x y

.
This is equal to 2

x 2 y 3

.
Hence the number of centimeters covered when he takes 2

x 2 y 3

steps is,
= 2

x 2 y 3 × 3 x 2 y

= 6 x 4 y 4

The distance covered is

6 x 4 y 4

centimeters.
Hence, option 3) is correct.

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