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27 Feb 2017, 01:54
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
80% (01:44) correct
20%
(01:50)
wrong
based on 344
sessions
History
Date
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Result
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Charlie drives 30 miles each way to work and back. If on his drive to work he averages 40 miles per hour, but on his return trip he can only manage an average of 20 miles per hour, what is his average rate for the day, in miles per hour?
(A) 22.5
(B) 26.67
(C) 30
(D) 32.5
(E) 33.33
(A) 22.5
(B) 26.67
(C) 30
(D) 32.5
(E) 33.33
27 Feb 2017, 03:30
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When distance s same bt speed varies..
Then avg speed s 2ab/(a+b)
So option B
Sent from my SM-G600FY using GMAT Club Forum mobile app
Then avg speed s 2ab/(a+b)
So option B
Sent from my SM-G600FY using GMAT Club Forum mobile app
27 Feb 2017, 22:09
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Hi vikasp99,
This question is an example of a classic 'Weighted Average' prompt. The answer choices are sufficiently 'spaced out' that we can actually answer it without doing any serious math (although you could certainly calculate the exact answer if you wanted to).
IF.... we spent the exact same amount of TIME driving at the two speeds (40 mph and 20 mph), then the average speed would be (20+40)/2 = 30 mph. However, since we're driving the same DISTANCE at each of those two speeds, we'll end up spending MORE TIME at 20mph than we will at 40mph (but not that much more time though). Thus, the average has to be a "little closer" to 20 than it is to 40. There's only one answer that matches....
Final Answer:
GMAT assassins aren't born, they're made,
Rich
This question is an example of a classic 'Weighted Average' prompt. The answer choices are sufficiently 'spaced out' that we can actually answer it without doing any serious math (although you could certainly calculate the exact answer if you wanted to).
IF.... we spent the exact same amount of TIME driving at the two speeds (40 mph and 20 mph), then the average speed would be (20+40)/2 = 30 mph. However, since we're driving the same DISTANCE at each of those two speeds, we'll end up spending MORE TIME at 20mph than we will at 40mph (but not that much more time though). Thus, the average has to be a "little closer" to 20 than it is to 40. There's only one answer that matches....
Final Answer:
GMAT assassins aren't born, they're made,
Rich
