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WiziusCareers1
Average speed = Total distance/Total time

From statement (1) alone:
Total distance = 2x
Total time = (x/75) + (x/40)
Hence, SUFFICIENT

From statement (2) alone:
It's a possibility but doesn't give any concrete information.
INSUFFICIENT

The answer is (A)

In statement 1, speed is given for first half by time. So distance cannot be assumed as 2x.
Let time for first half = t.
Distance traveled in first half = 75t
Distance traveled in first half = 40t
Average speed = Total distance / Total time = (75t + 40t)/2t = 115t/2t = 57.5 mph

Hence A is sufficient.
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VeritasKarishma can you explain why B alone cannot be sufficient?
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from Statement (2) alone, we have that if the car had constantly traveled at 75 mph, it would have
needed 5 hrs to complete the trip. But, we do not know how much time it has actually taken to complete the
trip
. Hence, we cannot find the average speed. So, Statement (2) alone is not sufficient.
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AweSome777
What is the average speed of the car during its entire trip?

(1) The car traveled at 75 mph for the first half (by time) of the trip and at 40 mph for the second
half of the trip.
(2) The car would have taken 5 hrs to complete the trip if it traveled at 75 mph for the entire trip.

Source: Nova's

Statement 2 gives us a hypothetical situation. If the car had travelled at 75 mph, it would have taken 5 hrs.
So what we do know from here is that distance to be travelled = 75*5 = 375 miles.
But do we know how much time the car actually took? No.
So we do not know the actual speed of the car.
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VeritasKarishma
AweSome777
What is the average speed of the car during its entire trip?

(1) The car traveled at 75 mph for the first half (by time) of the trip and at 40 mph for the second
half of the trip.
(2) The car would have taken 5 hrs to complete the trip if it traveled at 75 mph for the entire trip.

Source: Nova's

Statement 2 gives us a hypothetical situation. If the car had travelled at 75 mph, it would have taken 5 hrs.
So what we do know from here is that distance to be travelled = 75*5 = 375 miles.
But do we know how much time the car actually took? No.
So we do not know the actual speed of the car.
So in gmat whenever a hypothetical situation is given we should not consider it?
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HAPPYatHARVARD
VeritasKarishma
AweSome777
What is the average speed of the car during its entire trip?

(1) The car traveled at 75 mph for the first half (by time) of the trip and at 40 mph for the second
half of the trip.
(2) The car would have taken 5 hrs to complete the trip if it traveled at 75 mph for the entire trip.

Source: Nova's

Statement 2 gives us a hypothetical situation. If the car had travelled at 75 mph, it would have taken 5 hrs.
So what we do know from here is that distance to be travelled = 75*5 = 375 miles.
But do we know how much time the car actually took? No.
So we do not know the actual speed of the car.
So in gmat whenever a hypothetical situation is given we should not consider it?

The situation is hypothetical so it didn't really happen. If the car travelled at 75 mph, it would have taken 5 hrs. But did it actually travel at 75 mph? No. We don't know at what speed it actually travelled.
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Ave.speed=DISTANCE/(T1+T2)

Statement1: We can find the both T1 and T2:
Distance/2=T1*75 —>
T1=Distance/150

Distance/2=T2*40 —>
T2=Distance/80

Ave.Speed=D/(D/150+D/80)
=D/D(230/(150*80))=
150*80/230=1200/23
Sufficient

Statement2: No info any reality numbers. As Karishma from Veritas Prep said, it is a hypothetical, it didn’t really happen.
Insufficient

Answer choice is A

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