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At 11 AM, Abraham leaves from his home for a meeting that is scheduled
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22 Jan 2017, 01:52
Question Stats:
75% (01:40) correct 25% (02:08) wrong based on 85 sessions
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At 11 AM, Abraham leaves from his home for a meeting that is scheduled for 1 PM. If the venue of the meeting is not less than 100 kilometers away and Abraham drives at a speed not less than 60 kilometers per hour, will he be late for the meeting? (1) The venue of the meeting is less than 120 kilometers away (2) He does not drive at a speed greater than 80 kilometers per hour A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked. C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked. D. EACH statement ALONE is sufficient to answer the question asked. E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed. Thanks, Saquib Quant Expert eGMATRegister for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the realtime guidance of our Experts
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At 11 AM, Abraham leaves from his home for a meeting that is scheduled
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Updated on: 29 Jan 2017, 12:08
The official solution has been posted. Looking forward to a healthy discussion..
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Re: At 11 AM, Abraham leaves from his home for a meeting that is scheduled
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22 Jan 2017, 14:46
Distance>100 km & R>60 > is t>2?
st1. D<120 > (<120)/(>60)=<2 therefore sufficient. st2. R<80 > (>100)/(<80)= !2 . could be greater or less than 2. therefore insufficient.
A.



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Re: At 11 AM, Abraham leaves from his home for a meeting that is scheduled
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22 Jan 2017, 18:47
At 11 AM, Abraham leaves from his home for a meeting that is scheduled for 1 PM. If the venue of the meeting is not less than 100 kilometers away and Abraham drives at a speed not less than 60 kilometers per hour, will he be late for the meeting?
Rephrase the question: Is d/s<= 2
(1) The venue of the meeting is less than 120 kilometers away
Test the threshold
Let d=100 & S=60..........100/60= 1 2/3 hr < 2
Let d=120 & S=60..........120/60=2 hrs
This means that if we increase the distance to be not less than 60, then the time required will be always less than 2 hrs. So he will catch up his meeting,
Sufficient
(2) He does not drive at a speed greater than 80 kilometers per hour
Let d=160 & S=80.........160/80=2 hrs .........arrive on time
Let d= 320 & S=80.........320/80=4 hrs ........arrive late
Insufficient
Answer: A



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Re: At 11 AM, Abraham leaves from his home for a meeting that is scheduled
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29 Jan 2017, 12:06
Hey, PFB the official solution. Steps 1 & 2: Understand Question and Draw Inferences• Let Distance between home and meeting venue = D kilometers • Let Speed of driving be S kilometers per hour • Let time taken = T hours To Find: Is \(T > 2 hours\)? • \(Time = \frac{Distance}{Speed}\)
o \(T_{min} = \frac{D_{min}}{S_{max}}\)
o \(T_{max} =\frac{D_{max}}{S_{min}}\) If: o \(T_{min} > 2\) hours, then the answer is NO
o If \(T_{max} < 2\) hours, then the answer is YES.
o If \(T_{min} < 2 < T_{max}\), then a definite answer cannot be determined Step 3: Analyze Statement 1 independentlyStatement 1 says that \(D_{max} < 120\) km So, \(T_{max} < \frac{120}{60}\) hours That is, \(T_{max} < 2\)hours Sufficient to answer the question (he will reach the venue in time) Step 4: Analyze Statement 2 independentlyStatement 2 says that \(S_{max} = 80\) kmph This means, \(T_{min} = \frac{100}{80} =\frac{5}{4}\) hours So,\(T_{min} = 1\) hour \(15\) minutes But we don’t know about the maximum time he’ll take. So, not sufficient.Answer: AThanks, Saquib Quant Expert eGMATRegister for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the realtime guidance of our Experts
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Re: At 11 AM, Abraham leaves from his home for a meeting that is scheduled
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10 Mar 2019, 09:53
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Re: At 11 AM, Abraham leaves from his home for a meeting that is scheduled
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