Question

the production line where you work can assemble 5 amplifiers every 30 minutes. at this rate, how long should it take the line to assemble 125 amplifiers?
a. 4 hours 10 minutes
b. 12 hours 30 minutes
c. 12 hours 50 minutes
d. 20 hours 50 minutes
e. 25 hours

Explanation:

Step1: Calculate number of 30 - minute intervals

Find out how many 30 - minute intervals are needed to assemble 125 amplifiers. Divide the total number of amplifiers (125) by the number of amplifiers assembled per 30 - minute interval (5). So, $\frac{125}{5}=25$ intervals.

Step2: Calculate total minutes

Since each interval is 30 minutes, multiply the number of intervals (25) by 30. So, $25\times30 = 750$ minutes.

Step3: Convert minutes to hours and minutes

Divide 750 minutes by 60 to get the number of hours and remaining minutes. $750\div60 = 12$ hours with a remainder of 30 minutes.

Answer:

B. 12 hours 30 minutes