Knowee
Questions
Features
Study Tools

Problem:Two machines are working together to manufacture circular plates. Machine A can complete one plate in 4𝜋4π minutes, and Machine B can complete one plate in 6𝜋6π minutes. How long will it take for both machines, working together, to complete 3 plates?

Question

Problem:Two machines are working together to manufacture circular plates. Machine A can complete one plate in 4𝜋4π minutes, and Machine B can complete one plate in 6𝜋6π minutes. How long will it take for both machines, working together, to complete 3 plates?

🧐 Not the exact question you are looking for?Go ask a question

Solution

Step 1: Find the rate at which each machine works.

Machine A completes one plate in 4π minutes, so its rate is 1 plate / 4π minutes = 1/4π plates per minute. Machine B completes one plate in 6π minutes, so its rate is 1 plate / 6π minutes = 1/6π plates per minute.

Step 2: Add the rates together to find the combined rate.

The combined rate is 1/4π + 1/6π = 5/12π plates per minute.

Step 3: Find the time it takes for both machines to complete 3 plates.

The time it takes is the total number of plates divided by the combined rate, which is 3 plates / (5/12π plates per minute) = 7.2π minutes.

This problem has been solved

Similar Questions

Three machines, X, Y, and Z, can complete a task in 8 hours, 10 hours, and 12 hours, respectively. If they start working one after the other (X, then Y, then Z), how long will it take to complete the task?(APPROX)

A and B working together, can do a piece of work in 4 1/2hours. B and C working together can do it in 3 hours. C and A working together can do it in 2 1/4hours. All of them begin the work at the same time. Find how much time they will take to finish the piece of work?

A can do a piece of work in 4 hours. B and C can do the same piece of work together in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?Marks : 1Negative Marks : 0Answer here12638

ect the correct answerA factory produces nuts and bolts. A machine in it produces only nuts while another produces only bolts. The machine producing only nuts produces 500 nuts per minute and need to be cleared for 10 minutes after production of 2000 nuts. The machine producing only bolts produces 600 bolts per minute and needs to be cleared for 15 minutes after production of 3000 bolts. Find the minimum time required to produce 6000 pairs of bolts and nuts if both machines are operated simultaneously?Options32 minutes25 minutes20 minutes40 minutes

If A can do a piece of work in 10 days and B can do the same work in 15 days, how long will they take to complete it together?

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.