A circular wheel 28 inches in diameter rotates (moves) the same number of inches per second as a circular wheel 35 inches in diameter. If the smaller wheel makes x revolutions per second, how many revolutions per minute does the larger wheel make in terms of x?

A 12x
B 48x
C 24x
D 36x

Correct Answer: 48x

Let the revolutions made by larger wheel per minute be R. Circumference of smaller wheel, 2 π r = 2 x π x (28/2) = 28π Circumference of larger wheel, 2 π r = 2 x π x (35/2) = 35π  Speed of smaller wheel per minute = 60x Distance covered by larger wheel per minute = Distance covered by smaller wheel per minute or, R x 35π  = 28π x 60x or, R =  28π x 60x / 35π = 48x  
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