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Updated on: 05 Jan 2015, 03:42
Originally posted by marcodonzelli on 11 Mar 2008, 10:14.
Last edited by Bunuel on 05 Jan 2015, 03:42, edited 1 time in total.
Last edited by Bunuel on 05 Jan 2015, 03:42, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to DS forum.
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
74% (02:18) correct
26%
(02:28)
wrong
based on 1476
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Last Thursday, John assembled chairs at a rate of 3 chairs per hour for part of the day and Larry assembled no chairs. Last Friday, Larry assembled chairs at a rate of 4 chairs per hour for part of the day and John assembled no chairs. If John and Larry assembled chairs for a total of 7 hours during these two days, how many chairs did John assemble last Thursday?
(1) During these two days, John and Larry assembled a total of 25 chairs.
(2) During these two days, Larry assembled more chairs than John did.
(1) During these two days, John and Larry assembled a total of 25 chairs.
(2) During these two days, Larry assembled more chairs than John did.
11 Mar 2008, 11:40
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Suppose John worked J hours and Larry for L hours.
So from question we know that J + L = 7
Statement 1:
Tells that total chairs they collected is 25,
So we can write that 3J + 4L = 25
Now we have two equation and two unknowns so can be easily solved.
Statement 2:
Says Larry assembled more chairs than John. But does not tells how many chair in total they assembelled. So this alone is insufficient.
Answer A.
So from question we know that J + L = 7
Statement 1:
Tells that total chairs they collected is 25,
So we can write that 3J + 4L = 25
Now we have two equation and two unknowns so can be easily solved.
Statement 2:
Says Larry assembled more chairs than John. But does not tells how many chair in total they assembelled. So this alone is insufficient.
Answer A.
General Discussion
03 Jan 2015, 11:50
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Hi All,
Since the numbers involved in this DS question are relatively small, we can "brute force" all of the possible options rather easily (if needed) to prove the correct answer.
We're given the rates of two people:
John assembles 3 chairs/hour
Larry assembles 4 chairs/hour
We're told that 7 hours of total work time was done, but that the two men did not work at the same time.
We're asked how many chairs JOHN assembled.
Assuming that we're not dealing with "fractional chairs", the number of possibilities is really limited - each man worked from 1 to 6 hours, so the possible outcomes are:
John/Larry/Total
3/24/27
6/20/26
9/16/25
12/12/24
15/8/23
18/4/22
Fact 1: A Total of 25 chairs were made.
There's just one option that fits this: John makes 9 and Larry makes 16 --> the answer to the question is 9
Fact 1 is SUFFICIENT
Fact 2: Larry assembled more chairs than John.
Here, we have 3 possibilities: John could have made 3, 6 or 9 chairs.
Fact 2 is INSUFFICIENT
Final Answer:
GMAT assassins aren't born, they're made,
Rich
Since the numbers involved in this DS question are relatively small, we can "brute force" all of the possible options rather easily (if needed) to prove the correct answer.
We're given the rates of two people:
John assembles 3 chairs/hour
Larry assembles 4 chairs/hour
We're told that 7 hours of total work time was done, but that the two men did not work at the same time.
We're asked how many chairs JOHN assembled.
Assuming that we're not dealing with "fractional chairs", the number of possibilities is really limited - each man worked from 1 to 6 hours, so the possible outcomes are:
John/Larry/Total
3/24/27
6/20/26
9/16/25
12/12/24
15/8/23
18/4/22
Fact 1: A Total of 25 chairs were made.
There's just one option that fits this: John makes 9 and Larry makes 16 --> the answer to the question is 9
Fact 1 is SUFFICIENT
Fact 2: Larry assembled more chairs than John.
Here, we have 3 possibilities: John could have made 3, 6 or 9 chairs.
Fact 2 is INSUFFICIENT
Final Answer:
GMAT assassins aren't born, they're made,
Rich
