SOLUTION: An oatmeal company has two oatmeal packing machines. The first machine can fill a shipment of bags in 16 hours. The second machine can fill a shipment of bags in 13 hours. How many

Algebra ->  Rate-of-work-word-problems -> SOLUTION: An oatmeal company has two oatmeal packing machines. The first machine can fill a shipment of bags in 16 hours. The second machine can fill a shipment of bags in 13 hours. How many      Log On


   

Question 825725: An oatmeal company has two oatmeal packing machines. The first machine can fill a shipment of bags in 16 hours. The second machine can fill a shipment of bags in 13 hours. How many shipments will the two machines fill working together for 72 hours?
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!

The rate of both machines working simultaneously is the sum of their rates, so this rate is 1%2F16%2B1%2F13 shipments per hour.

1%2F16%2B1%2F13=13%2F%2816%2A13%29%2B16%2F%2816%2A13%29=highlight_green%2829%2F208%29 shipments per hour.

This uniform rates situation is R%2At=s, Rate, time, shipments.
highlight%28%2829%2F208%29%2A72=NumberOfShipments%29