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.
OA A
Source: GMAT Prep
Last Thursday, John assembled chairs at a rate of 3 chairs
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Say John assembled chairs for j hours on Thursday; thus, Larry assembled chairs for (7 - j) hours on Friday.BTGmoderatorDC wrote: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.
OA A
Source: GMAT Prep
The total number of chairs assembled by the two = 3j + 4(7 - j).
We have to get the value of 3j.
Let's take each statement one by one.
(1) During these two days, John and Larry assembled a total of 25 chairs.
=> 3j + 4(7 - j) = 25
Thus, j = 3 => 3j = 9. Sufficient.
(2) During these two days, Larry assembled more chairs than John did.
No unique answer of j. Insufficient.
The correct answer: A
Hope this helps!
-Jay
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