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What is the average speed of the car during its entire trip?

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New post 10 Jul 2019, 07:25
2
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

56% (01:38) correct 44% (01:19) wrong based on 86 sessions

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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
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New post 10 Jul 2019, 09:01
1
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)
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New post 10 Jul 2019, 23:16
A)Let time = 2 hrs.
total dist = 1(75) +1(40) = 115 miles. average= 115/2= 57.5 --> Suffecient.

B) Clearly insufficient without the real details. B is Insuffecient.

IMO A
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New post 10 Jul 2019, 23:39
WiziusCareers1 wrote:
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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New post 11 Jul 2019, 10:42
VeritasKarishma can you explain why B alone cannot be sufficient?
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New post 11 Jul 2019, 11:23
1
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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New post 11 Jul 2019, 22:25
AweSome777 wrote:
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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Re: What is the average speed of the car during its entire trip?  [#permalink]

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New post 15 Jul 2019, 10:07
VeritasKarishma wrote:
AweSome777 wrote:
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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New post 15 Jul 2019, 20:42
HAPPYatHARVARD wrote:
VeritasKarishma wrote:
AweSome777 wrote:
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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Re: What is the average speed of the car during its entire trip?  [#permalink]

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New post 15 Jul 2019, 23:04
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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Re: What is the average speed of the car during its entire trip?   [#permalink] 15 Jul 2019, 23:04
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