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
The OA is the option A.
How can I state an answer here without knowing the exact distance and the exact speed? Is there a way to do it? Please, someone, help me.
Source: e-GMAT
At 11 AM, Abraham leaves from his home for a meeting that
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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.
Therefore, A is the correct answer.
(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.
Therefore, A is the correct answer.