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At 11 AM, Abraham leaves from his home for a meeting that is scheduled

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At 11 AM, Abraham leaves from his home for a meeting that is scheduled  [#permalink]

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New post 22 Jan 2017, 01:52
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E

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  25% (medium)

Question Stats:

75% (01:38) correct 25% (02:04) wrong based on 126 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.


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At 11 AM, Abraham leaves from his home for a meeting that is scheduled  [#permalink]

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New post Updated on: 29 Jan 2017, 12:08

Originally posted by EgmatQuantExpert on 22 Jan 2017, 01:53.
Last edited by EgmatQuantExpert on 29 Jan 2017, 12:08, edited 1 time in total.
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Re: At 11 AM, Abraham leaves from his home for a meeting that is scheduled  [#permalink]

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New post 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.

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Re: At 11 AM, Abraham leaves from his home for a meeting that is scheduled  [#permalink]

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New post 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  [#permalink]

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New post 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
      o \(D_{min} = 100 km\)
    • Let Speed of driving be S kilometers per hour
      o \(S_{min} = 60 kmph\)
    • 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 independently

Statement 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 independently

Statement 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: A


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Re: At 11 AM, Abraham leaves from his home for a meeting that is scheduled  [#permalink]

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Re: At 11 AM, Abraham leaves from his home for a meeting that is scheduled   [#permalink] 10 Mar 2019, 09:53
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