sanjitscorps18
Bunuel
The minutes that it takes machine A to print n pages alone is half a minute that it takes machine B to print n pages alone. If machine A and machine B print n pages in 3 minutes when working together at their constant rates, respectively, in how many minutes machine B prints n pages alone?
A. 3.2 min
B. 3.6 min
C. 4.0 min
D. 4.5 min
E. 9.0 min
Are You Up For the Challenge: 700 Level QuestionsHi
BunuelCould you please clarify the question again? The first sentence is not making much sense.
Hey, I´m pretty sure he meant "a prints n pages in half the time that b needs for printing n pages"
--> Correct answer:
Ea+b need 3 min. for n pages (so (n/3)/1min)
b prints n pages in x min. (so n/x / 1 min)
a prints n pages in (x/2) min. (so n/(x/2)min)
Now, you can set up the equation:
(n/x)/1min + (2/x)/1min = (n/3)/1min
and solve for x:
x=9
since b needs x minutes to print n pages, we now know that b needs 9 min. to print n pages.