AbdurRakib wrote:
Each type A machine fills 400 cans per minute,each Type B machine fills 600 cans per minute,and each Type C machine installs 2,400 lids per minute.A lid is installed on each can that is filled and on no can that is not filled. For a particular minute,what is the total number of machines working?
(1) A total of 4,800 cans are filled that minute
(2) For that minute,there are 2 Type B machines working for every Type C machine working
Given: Each type A machine fills 400 cans per minute,each Type B machine fills 600 cans per minute,and each Type C machine installs 2,400 lids per minute.A lid is installed on each can that is filled and on no can that is not filled. Target question: For a particular minute,what is the total number of machines working? Statement 1: A total of 4,800 cans are filled that minute Since Machine C installs 2400 lids per second, we know that there are 2 Machine C's operating during that minute.
HOWEVER, we don't know how many Machine A's and Machine B's are working.
For example, here are two possible scenarios:
Case a: There are 12 Machine A's, 0 Machine B's and 2 Machine C's. In this case, the answer to the target question is
the total number of machines working = 12 + 0 + 2 = 14Case b: There are 0 Machine A's, 8 Machine B's and 2 Machine C's. In this case, the answer to the target question is
the total number of machines working = 0 + 8 + 2 = 10Since we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: For that minute,there are 2 Type B machines working for every Type C machine working Since we are not giving any information about how many cans are filled during the minute, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined Statement 1 indirectly tells us that there are
2 Machine C's operating during that minute
Statement 2 indirectly tells us that there are
4 Machine B's operating during that minute (since there are 2 Type B machines working for every Type C machine working)
In one minute, 4 Machine B's can fill 2400 cans (since each Machine B can fill 600 cans per minute)
4800 - 2400 = 2400
So, the remaining 2400 cans must be filled by Machine A
Since each Machine A can fill 400 cans per minute, we'll need
6 Machine A's to fill the remaining 2400 cans.
Total number of Machines working equals =
2 +
4 +
6= 12
So, the answer to the target question is
the total number of machines working = 12Since we can answer the
target question with certainty, the combined statements are SUFFICIENT
Answer: C
Cheers,
Brent