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# M22-29

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Math Expert
Joined: 02 Sep 2009
Posts: 50623

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16 Sep 2014, 00:17
00:00

Difficulty:

25% (medium)

Question Stats:

67% (00:43) correct 33% (00:44) wrong based on 161 sessions

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A car went from town A to town B. The distance between the towns is 200 miles. If at the half-way point the time was 9:00 am, when did the car arrive at town B ?

(1) The car began its journey at 7:00 am

(2) The average speed of the car over the second half was 40 mph

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Math Expert
Joined: 02 Sep 2009
Posts: 50623

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16 Sep 2014, 00:17
Official Solution:

Statement (1) by itself is insufficient. We need to know more about the second half of the trip.

Statement (2) by itself is sufficient. The car covered the last 100 miles in $$\frac{100}{40}$$ hours. Adding this time to 9:00 am we can find the arrival time.

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Intern
Joined: 12 May 2017
Posts: 8

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31 Dec 2017, 03:35
Bunuel wrote:
Official Solution:

Statement (1) by itself is insufficient. We need to know more about the second half of the trip.

Statement (2) by itself is sufficient. The car covered the last 100 miles in $$\frac{100}{40}$$ hours. Adding this time to 9:00 am we can find the arrival time.

Hi, Bunuel!

for statement 1) We have the distance=100 miles covered till half point of the journey and time taken to cover this distance= 9- 7 a.m = 2 hours. So, with this information we can calculate the speed of the journey = 100/2 = 50 miles/hour. With the help of speed and rest distance of 2nd half= 100 miles, I can calculate the time required to reach point B i.e t=100/50= 2 hours. This would tell me that the person reached at B at 9a.m + 2 hours = 11 a.m.
So statement 1 should have been sufficient.

Statement 2 is sufficient since we have the distance=100 miles and speed given. So time can be calculated to reach B.
That's why I chose Option D.

Please tell me where am I committing mistake?
Manager
Joined: 23 Oct 2017
Posts: 64

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01 Feb 2018, 08:27
2
Blossom1907 wrote:
Bunuel wrote:
Official Solution:

Statement (1) by itself is insufficient. We need to know more about the second half of the trip.

Statement (2) by itself is sufficient. The car covered the last 100 miles in $$\frac{100}{40}$$ hours. Adding this time to 9:00 am we can find the arrival time.

Hi, Bunuel!

for statement 1) We have the distance=100 miles covered till half point of the journey and time taken to cover this distance= 9- 7 a.m = 2 hours. So, with this information we can calculate the speed of the journey = 100/2 = 50 miles/hour. With the help of speed and rest distance of 2nd half= 100 miles, I can calculate the time required to reach point B i.e t=100/50= 2 hours. This would tell me that the person reached at B at 9a.m + 2 hours = 11 a.m.
So statement 1 should have been sufficient.

Statement 2 is sufficient since we have the distance=100 miles and speed given. So time can be calculated to reach B.
That's why I chose Option D.

Please tell me where am I committing mistake?

-----------------

Hi, from statement 1 it is not evident whether the car is travelling at a constant speed throughout the journey. There is a possibility that the average speed during the second trip would be different from the first half. This information is not given. Hope it clarifies.
Re: M22-29 &nbs [#permalink] 01 Feb 2018, 08:27
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# M22-29

Moderators: chetan2u, Bunuel

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