Question

An assembly line moves at a rate of 25 object permanence after one minute the rate goes up by two objects per minute for six minutes, then slows down for for objects per minute for nine minutes before resuming normal speed how many objects pass a worker station on the line during the last one half hour?

Answer 1

To solve this problem, we'll break it down step by step.

Step 1: Calculate the number of objects that move at a normal speed:
Rate of objects moving at normal speed = 25 objects/minute * 30 minutes = 750 objects

Step 2: Calculate the number of objects that move at an increased rate for 6 minutes:
Rate of objects moving at increased rate = (25 objects/minute + 2 objects/minute) * 6 minutes = 162 objects

Step 3: Calculate the number of objects that move at a slowed rate for 9 minutes:
Rate of objects moving at slowed rate = (25 objects/minute - 4 objects/minute) * 9 minutes = 189 objects

Step 4: Calculate the total number of objects that pass the worker station during the last half hour:
Total number of objects = Normal speed objects + Increased rate objects + Slowed rate objects
Total number of objects = 750 objects + 162 objects + 189 objects = 1101 objects

Therefore, during the last half hour, 1101 objects will pass a worker station on the assembly line.