AS #61

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AS #61

by oquiella » Sun Oct 25, 2015 3:11 pm
61. What is the radius of the wheel of a bus?
(1) The wheel makes 1500 revolutions when travelling from A to B
(2) If the wheel had travelled three more kilometres, it would have revolved 1500
more times.
Source: — Data Sufficiency |

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by Matt@VeritasPrep » Sun Oct 25, 2015 10:33 pm
S1 is no good, since we don't know the distance.

S2 tells us that the wheel revolves 1500 times in 3 kilometers. (I'm going to assume this is exactly 1500 complete revolutions, but the statement is rather ambiguous.) Each revolution is thus (3 km)/1500, or (1/500) of a kilometer. This gives us the circumference of the wheel, from which we can find the radius.