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DS Question

by MI3 » Wed Jun 01, 2011 2:29 am
Q. If it took Carol 1/2 hour to cycle from his house to the library yesterday, was the distance that he cycled greater than 6 miles? (1mile = 5,280feet)
(1) The average speed at which Carlos cycled from his house to the library yesterday was greater than 16
feet per second.
(2) The average speed at which Carlos cycled from his house to the library yesterday was less than 18 feet per second.

IMO A, am i correct?

Thanks,
M
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Source: — Data Sufficiency |
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by cans » Wed Jun 01, 2011 2:34 am
i mile = 5280 feet; 6 miles = 31680 feet. t=1/2hours = 1800sec
to find if d>31680 feet
a)s>16feet/sec. d=s*t
d>16*1800 feet
d>28800 feet
insufficient

b)s<18feet/sec. d<18*1800 feet
d<32400 feet. insufficient.
both a&b) 32400>d>28800
insufficient
IMO E
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by abhi0697 » Fri Jun 03, 2011 5:11 am
IMO E

Q is asking to find out whether distance > 31,680 ft

and solving both condition together gives 28,800 < distance < 32,400 ft
so we cannot determine whether distance is actually greater than 31,680 ft
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