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How long did it take Carlos to drive nonstop from his home [#permalink]
15 Mar 2012, 13:13
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A
B
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D
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Difficulty:
45% (medium)
Question Stats:
57% (01:54) correct
43% (00:50) wrong based on 244 sessions
How long did it take Carlos to drive nonstop from his home to Atlanta, Georgia?
(1) Carloss average speed for the trip was 55 miles per hour. (2) If Carloss average speed for the trip had been 20 percent faster, the trip wouldve taken 3 hours.
Re: Time taken by Carlos [#permalink]
15 Mar 2012, 19:26
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Statement 1 We dont know the distance so we cannot calculate T
Statement 2 IF we apply ratios we can solve it easily. New velocity is 1.2 (6/5) times the old velocity i.e if velocity has increased 6/5 times then time to cover the same distance will reduce to 5/6 times. so we can write that 5/6T(old time taken)=3(new time taken) so T(old)=3.6 hrs
so from statement 2 we know the time taken so the ANS is B
Re: Time taken by Carlos [#permalink]
16 Mar 2012, 01:10
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Expert's post
How long did it take Carlos to drive nonstop from his home to Atlanta, Georgia?
Distance=Rate*Time
(1) Carloss average speed for the trip was 55 miles per hour --> Rate=55 miles per hour, we still need Distance to get Time. Not sufficient.
(2) If Carloss average speed for the trip had been 20 percent faster, the trip wouldve taken 3 hours --> notice that we are dealing with the SAME distance: Distance=Rate*Time=(1.2*Rate)*3 --> Rate*Time=(1.2*Rate)*3 --> Time=3.6 hours. Sufficient.
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