There are two cylindrical rollers - bigger and smaller. How many rotations will the bigger roller take to flatten a stretch of land (X)?
Statement I: The respective ratio of the radii of the bigger and the smaller roller is 7 : 3. Both the rollers are of the same length.
Statement II: The smaller takes 126 rotations to flatten the stretch of land (X).
From both the statements, Radius of the larger roller = 7x units Radius of the smaller roller = 3x units Area flattened by smaller roller in 63 rotations = 2 × pi × 3x × 1 × 63 Therefore, 3x × 126 × pi × r × 1 = 2 × pi × 7x × 1 × n n = 27
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