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Bunuel
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­Jim traveled from X to Y, and arrived at Z. If the average speed for the whole trip was 60 miles per hour, what is the average speed for the trip from Y to Z?

(1) The average speed for the trip from X to Y is 55 miles per hour.
No info about time, or distance covered.
Insufficient

(2) It took Jim 0.5 hour from Y to Z.
No info about distance covered or speed from Y to Z or about X to Y.
Insufficient

(1)&(2)
Together still not sufficient. Can't find either the distance travelled or speed.

E
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Yes, we need the weighted time average of the segments to get the answer.

Trainer4GMAT
From the first statement, we don't get the distance between two destinations so it is not sufficient to answer the question.
Statement 2 is also not providing us the actual distance between X to Y, so it is also unable to provide the answer.
Combining them together, we are still not able to find the proper inputs requiired to answer the question i.e. both distances and total time taken.
So option E is the answer.
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