Question

One robot, working independently at a constant rate, can assemble a doghouse in 12 minutes. What is the maximum number of complete doghouses that can be assembled by 10 such identical robots, each working on separate doghouses at the same rate for hours?

Answer 1

Answer:

Since the question asks for the number of completed doghouses after 212212 hours, any incomplete doghouses must be removed from the calculations.

Since one robot completes a doghouse in 12 minutes, the individual hourly rate is 60 ÷ 12 = 5 doghouses per hour.

Therefore, each robot produces 5 × 2.5 = 12.5 doghouses in 212212 hours. (Or just divide the 150 total minutes by 12 minutes per doghouse to get the same result.)

However, the questions asks about completed doghouses, and the robots are working independently, so drop the decimal. Each robot completes only 12 complete doghouses in the time period, for a totalof 12 × 10 = 120 doghouses.