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 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? a. 25%b. 3313%c. 50%d. 6623%e. 75%

Step-by-step explanation:

Given,

The number of cartons = k,

Time taken by machine a = 8 hours,

So, the number of cartons made by machine a in one hour

=

=

Time taken by machine b = 4 hours ,

So, the number of cartons made by machine b in one hour

=

Total cartons made in 1 hour =

∵ for the whole number value of k,

i.e.  machine b is faster,

Also, the percent of the cartons were sealed by the machine b

Hence, OPTION D is correct.

34

step-by-step explanation: