Two machines, Y and Z, work at constant rates producing identical items. Machine Y produces 3 items in the same time Machine Z produces 2 items. If machine Y takes 9 minutes to produce a batch of items, how many minutes does it take for machine Z to produce the same number of items?

A. 6

B. 9

C. 9 1/2

D. 12

E. 13 1/2

Question

Mathematics

Ben Colon

12 January, 23:45

Two machines, Y and Z, work at constant rates producing identical items. Machine Y produces 3 items in the same time Machine Z produces 2 items. If machine Y takes 9 minutes to produce a batch of items, how many minutes does it take for machine Z to produce the same number of items?

A. 6

B. 9

C. 9 1/2

D. 12

E. 13 1/2

+5

Answers (1)

Know the Answer?

Griffin Richmond · Answer 1

E. 13 1/2

Step-by-step explanation:

As two machine Y and Z at constant rate is in 3/2. So if a machine Y is working 3/2 then the rate of other machine Z is 2/3 time take. Y take 9 minutes. So, 9 = (2/3) the time

so T = 9 * 3 / 2

T = 13.5

So option E is true.