AS #61

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oquiella: Master | Next Rank: 500 Posts; Posts: 164; Joined: Tue May 12, 2015 9:06 am; Thanked: 3 times

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.

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Source: Beat The GMAT — Data Sufficiency | Sun Oct 25, 2015 3:11 pm

Matt@VeritasPrep: GMAT Instructor; Posts: 2630; Joined: Wed Sep 12, 2012 3:32 pmFollowed by: 119 members; Location: East Bay all the way; Thanked: 625 times; GMAT Score:780

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.

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