AustinKL
From the total sports players, the ratio of soccer players to baseball players to basketball players to volleyball players is \(2\) to \(3\) to \(4\) to \(1\). Soccer players must practice \(8\) hours per day, and of the total soccer players, \(\frac{3}{4}\) practiced soccer for \(8\) hours per day. Baseball players must practice \(10\) hours per day, and of the total baseball players, \(\frac{1}{3}\) practiced baseball for \(10\) hours per day. Basketball players must practice \(10\) hours per day, and of the total basketball players, \(\frac{4}{5}\) practiced basketball for \(12\) hours per day. Volleyball players must practice \(9\) hours per day, and of the total volleyball players, \(\frac{1}{2}\) played volleyball for \(9\) hours per day. If all players must do weight training or their sports practice for set amount of time each day, what is the approximate average number of hours did the players, who did weight training, spend on sports?
A. \(9\) hrs
B. \(10\) hrs
C. \(12\) hrs
D. \(13\) hrs
E. \(15\) hrs
Dear
AustinKL,
I'm happy to respond.
First of all, Austin, if I may give you a little advice: it is not necessary to use the "math script" function for ordinary integers. Yes, if we need to write fractions, exponents, etc., then the math script is vital, but for ordinary numbers, we can simply use the ordinary font. For example, we can say
2 to 3 to 4 to 1It makes for far more bulky text to say:
\(2\) to \(3\) to \(4\) to \(1\)I don't have a high opinion of this question. First of all, the context is a little funny: the "
total sport players" where? At a high school? college? The hours of practice are not easily reconcilable with any venue. It feels highly contrived.
More importantly, assuming that the question was copied correctly from the source, it was written by someone who does not have a complete command of English. This is unfortunate, because the language in GMAT Quant questions is superbly clear and precise.
Finally, most seriously, it's unclear we have enough information to answer the question. For example, consider the baseball players (my favorite sport!) There is some number of baseball players N. Of these N baseball players, 1/3 play baseball for 10 hours. The problem says:
"
all players must do weight training or their sports practice for a set amount of time each day"
From this, I infer that the other 2/3 of baseball players did weight-training, presumably 10 hours of weight training? (Of course, some smaller number of hours of weight training and the rest spent on baseball would be far more realistic, but I gather that realism is the last concern of the question author.)
Now, here's the puzzling thing. These 2/3 of the baseball players who are spending 10 hrs on weight-lifting, zero on baseball (
what make them baseball players at all if they never play baseball?)---the prompt asks:
what is the approximate average number of hours did the players, who did weight training, spend on sports?Well, for example, these 2/3 of the baseball players weren't spending any time on their sport at all! They were spending 100% of their time on weight training! From what I can tell, no athlete who chose weight training spend any time on sports.
The only way we can do any calculation at all is if we assume that the weight lifting "counts" as a sport, despite the fact that the problem consistently distinguishes weight lifting from the the individual sports. The terminology of the question is unclear. In fact, several things are unclear, in part because of the less than facile use of the English language.
As someone who has written hundreds of GMAT Quant practice questions, I would give this question a grade of an
F. This falls short of the GMAT's standards in several ways.
Here's a considerably high quality question, about
my favorite teamIn a certain town MetsDoes all this make sense?
Mike