Question 1206775
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The ratio of diameters of the two wheels is 20:200, or 1:10.<br>
The wheels touch on their circumferences, which are also in the ratio 1:10.<br>
Since the wheels rotate without slipping, the ratio of the angles through which they rotate are in the ratio 1:10, with the smaller wheel of course rotating faster.<br>
The large wheel rotates through an angle of 60 degrees; the small wheel rotates through an angle of 10*60 degrees = 600 degrees.<br>
The number of rotations the small wheel makes (360 degrees per revolution) is 600/360 = 5/3.<br>
ANSWER: 5/3 turns, or 1 2/3 turns<br>