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Stopover!

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by vinay1983 » Tue Sep 24, 2013 4:04 am
How long did the 1000 mile journey with 10 stopovers take Mr. X?

1. The ith stopover lasted i^2 minutes

2. The average speed between any 2 stopovers was 66 miles per hour.
You can, for example never foretell what any one man will do, but you can say with precision what an average number will be up to!
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Source: — Data Sufficiency |

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by Brent@GMATPrepNow » Tue Sep 24, 2013 5:28 am
vinay1983 wrote:How long did the 1000 mile journey with 10 stopovers take Mr. X?

1. The ith stopover lasted i^2 minutes

2. The average speed between any 2 stopovers was 66 miles per hour.

Target question: How long did the 1000 mile journey with 10 stopovers take Mr. X?

IMPORTANT: The total time to complete the journey = (total driving time) + (total stopover time)

Statement 1: The ith stopover lasted i^2 minutes
In other words, the 1st stopover lasted 1 minute, the 2nd stopover lasted 4 minutes, the 3rd stopover lasted 9 minutes, the 4th stopover lasted 16 minutes, etc.
We can use this to find the total stopover time for all 10 stops.
HOWEVER, there's no way we can determine the total driving time.
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: The average speed between any 2 stopovers was 66 miles per hour.
Total driving time = distance/(average speed)
= 1000/66 hours
So, here we can determine the total driving time.
HOWEVER, there's no way we can determine the total stopover time
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
Statement 1 tells us the total stopover time
Statement 2 tells us the total driving time
So, we can now answer the target question with certainty.
The combined statements are SUFFICIENT, and the correct answer is C

Cheers,
Brent
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by theCodeToGMAT » Tue Sep 24, 2013 5:41 am
Is the Answer [spoiler][C][/spoiler]?

We need --> Drive time + Stopover time

Statement 1:
Stop over time provided.. But no info about Drive time.
INSUFFICIENT

Statement 2:
Drive Time can be calculated Provided but not Stopover time.
INSUFFICIENT

Combining...
Stop over time & Drive time available..
[spoiler][C][/spoiler]
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by faraz_jeddah » Wed Sep 25, 2013 4:55 am
vinay1983 wrote:How long did the 1000 mile journey with 10 stopovers take Mr. X?

1. The ith stopover lasted i^2 minutes

2. The average speed between any 2 stopovers was 66 miles per hour.
\

Nice Question Vinay. What is the source?
A good question also deserves a Thanks.

Messenger Boy: The Thesselonian you're fighting... he's the biggest man i've ever seen. I wouldn't want to fight him.
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