Question

Michael can pack 10 parcels in 3 minutes. Kate can pack 7 parcels in 2 minutes. If they work together, how many parcels can they pack in 5 minutes?​

Answer 1

Answer:

37.5 parcels in 5 minutes.  Round down to 37, if required for the purpose of the calculation.

Step-by-step explanation:

Let M and K be the rates Michael and Kate can pack parcels, in parcels/minute, or p/m.

M = (10/3)p/m

K = (7/2)p/m

When they work together for 5 minutes, we can calculate the numbers of parcels each pack.

Michael:  ((10/3)p/m)*(5m) = 20 p

Kate:        ((7/2)p/m)*(5m) =  17.5 p

                             Total  =    37.5 parcels