A worker on an assembly line takes 5 hours to produce 23 parts. At that rate how many parts can she produce in 25 hours?
1. 575 parts
2. 230 parts
3. 115 parts
4. 53 parts
To find the answer, we can set up a proportion:
5 hours / 23 parts = 25 hours / x parts
Cross multiplying, we have:
5x = 23 * 25
5x = 575
Dividing both sides by 5, we get:
x = 115
Therefore, the worker can produce 115 parts in 25 hours.
The correct answer is option 3. 115 parts.
To solve this question, we need to determine the worker's production rate per hour and then calculate how many parts she can produce in 25 hours.
First, let's find the worker's production rate per hour. We can do this by dividing the total number of parts produced (23) by the total number of hours worked (5):
Production rate per hour = Total parts produced / Total hours worked
Production rate per hour = 23 parts / 5 hours = 4.6 parts/hour
Now, to find out how many parts the worker can produce in 25 hours, we multiply the production rate per hour by the number of hours:
Parts produced in 25 hours = Production rate per hour * Number of hours
Parts produced in 25 hours = 4.6 parts/hour * 25 hours = 115 parts
Therefore, the answer is 115 parts. Therefore, the correct choice is option 3.
To calculate the number of parts the worker can produce in 25 hours, we need to find the worker's hourly production rate and then multiply it by 25.
Step 1: Calculate the worker's hourly production rate.
Divide the total number of parts (23) by the total number of hours (5).
Hourly production rate = 23 parts ÷ 5 hours = 4.6 parts/hour
Step 2: Multiply the hourly production rate by the number of hours (25).
Parts produced in 25 hours = 4.6 parts/hour × 25 hours = 115 parts
Therefore, the worker can produce 115 parts in 25 hours.
Answer: 3. 115 parts