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:
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Rich
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