Question

The production line where you work can assemble 5 amplifiers every 30 minutes. At this rate, which correctly calculates the number of hours it takes to assemble 230 amplifiers?

Answer 1

To determine the time required to assemble 230 amplifiers, calculate the hourly assembly rate and then divide the total amplifiers by this rate. It takes 23 hours to assemble 230 amplifiers given the rate of 10 amplifiers per hour.

Step-by-step explanation:

To determine the number of hours it takes to assemble 230 amplifiers on a production line that can assemble 5 amplifiers every 30 minutes, we need to set up a proportion or use unit rates. Given that 5 amplifiers take 0.5 hour to assemble (since 30 minutes equals 0.5 hours), we can calculate the rate of amplifiers assembled per hour, and then find out how many hours it takes to assemble 230 amplifiers.

First, find the rate per hour: 5 amplifiers / 0.5 hour = 10 amplifiers per hour. Next, divide the total number of amplifiers by the rate per hour to find the total hours needed: 230 amplifiers / 10 amplifiers per hour = 23 hours. Therefore, it would take 23 hours to assemble 230 amplifiers.

Answer 2

5 amplifiers in 30 minutes is the same as 10 amplifiers per hour. Divide 230 amplifiers by 10 amplifiers (which is how many you can make per hour) to get 23 hours [the answer].