Question

Working alone at its own constant rate, a machine seals k cartons in 8 hours, and working alone at its own constant rate, a second machine seals k cartons in 4 hours. If the two machines, each working at its own Page 10 constant rate and for the same period of time, together sealed a certain number of cartons, what percent of the cartons were sealed by the machine working at the faster rate?

Answer 1

The correct answer is : D. 66 2/3%

Step-by-step explanation:

• The first machine works under this condition

8 hrs = K

1 hr = K/8

• The second machine (this one works at the faster rate)

4hrs = K

1 hr = K/4

The Machines working together:

1 hr = K/4 + K/8 = 3K/8

Faster Machine Percentage =