Machine M, N, O working simultaneously Machine M can produce x units in 3/4 of the time it takes machine N to produce the same amount of units. Machine N can produce x units in 2/9 the time it takes machine O to produce that amount of units. If all three machines are working simultaneously, what fraction of the total output is produced by machine N?	Select:
A) 1/2
B) 3/5
C) 4/13
D) 8/29
E) 6/33
Now ultimately the speed of every machine is given with respect to Mach O.   So lets assume the speed of O, say 12 hrs to make x units (assuming 6 because we can see we will need to divide by 3 and 4   Mach O makes x units in 12 hrs   So, Mach N = 2/9 of O = 2/9*12 = 8/3 hrs to make x units   and Mach M = 3/4 of N = 3/4*8/3 = 6 hrs to make x units   No they are running simultaneously. Lets see how much each mach makes in 1 hr   Mach O = x/12 units   Mach N = 3x/8 units   Mach M = x/6 units   In 1 hr, together they make - x/12+3x/8+x/6 = 5x/8   So what ratio of this has Mach N made?   (3x/8) / (5x/8) =3/5   Ans:3/5=3/5
<result>B</result>
Machine M, N, O working simultaneously Machine M can produce x units in 3/4 of the time it takes machine N to produce the same amount of units. Machine N can produce x units in 2/9 the time it takes machine O to produce that amount of units. If all three machines are working simultaneously, what fraction of the total output is produced by machine N?