Data Sufficiency

e-GMAT

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.

OA A

$$Dis\tan ce\ from\ \hom e\ to\ meeting\ge100km$$
$$Time\ taken\ is\ \exp ected\ to\ be\ \le2hrs\ to\ avoid\ lateness$$
$$speed\ge60\ \frac{km}{hr}$$
Will Abraham be late for the meeting?

Statement 1
The venue of the meeting is less than 120 km away.
$$100km\le Dis\tan ce\le120km$$
If the distance = 120km at the speed of 60km/hr, he will get to the meeting in 2hrs.
If Distance =100km at the speed of 60km/hr, he will get to the meeting within 1hr 42minutes.
He will not be late, Statement 1 is SUFFICIENT.

Statement 2
He does not drive at a speed greater than 80 km/hr
$$Speed\le80\ \frac{km}{hr}$$
$$Dis\tan ce\ \ge100\ \frac{km}{hr}$$
If distance = 100 km at a time taken to get to the meeting will be 1 hour 15 minutes at 80 km/hr.
Therefore, he will not be late .

If Distance =100 and speed = 20 km/hr Time-taken = 5 hrs
Therefore, he will be late, information given is not enough.
Statement 2 is INSUFFICIENT.

$$Answer\ is\ Option\ A$$