Data Sufficiency

Three printing machines, a, b, and c, working alone and at their respective rates, can print 100,000 copies of a flier in 40 hours. How long does it take machine c to print 200,000 copies of the flier?

1. Machines a and c, working together, can print 100,000 copies of the flier in 48 hours.
2. Machines a and b, working together, can print 200,000 copies of the flier in 120 hours.

A) Statement (1) ALONE is sufficient, but statement (2) is not sufficient.
B) Statement (2) ALONE is sufficient, but statement (1) is not sufficient.
C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D) EACH statement ALONE is sufficient.
E) Statements (1) and (2) TOGETHER are NOT sufficient.

is it C?

It's B.

In the first statement you could not solve for c machine.

It should be B, because from the question we have:

1/a + 1/b + 1/c = 1/40 ----------1

from option 1 we have:

1/a + 1/c = 1/48 ---------2

substituting this in 1, we can get value of b but not c , therefore cannot calculate time taken by c.

taking option 2 we have

1/a+1/b =2/120------3

substituting 3 in 1 we can get the value of c and therefore this option is sufficient

hence B

The answers is B.

Just guessing isnt there a typo in the question..."working alone" shouldnt the question say "working together"

umaa wrote:The answers is B.

right! even i noticed it.

umaa wrote:Three printing machines, a, b, and c, working alone and at their respective rates, can print 100,000 copies of a flier in 40 hours. How long does it take machine c to print 200,000 copies of the flier?

1. Machines a and c, working together, can print 100,000 copies of the flier in 48 hours.
2. Machines a and b, working together, can print 200,000 copies of the flier in 120 hours.

A) Statement (1) ALONE is sufficient, but statement (2) is not sufficient.
B) Statement (2) ALONE is sufficient, but statement (1) is not sufficient.
C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D) EACH statement ALONE is sufficient.
E) Statements (1) and (2) TOGETHER are NOT sufficient.

B Alone should be sufficient.