Applying Rational Equations 1

TL;DR

Ian takes 5 hours per bag, Kyandre takes 3 hours per bag; together, they can complete the task in 1 hour and 52.5 minutes.

Transcript

Ian can rake a lawn and bag the leaves in 5 hours. Kyandre can rake the same lawn and bag the leaves in 3 hours. Working together, how long would it take them to rake the lawn and bag the leaves? So the best way to think about this is think about how many bags per hour each of them can do. And then we could add the number of bags per hour they coul... Read More

Key Insights

• 🥖 Ian takes 5 hours per bag, while Kyandre takes 3 hours per bag.
• 😑 Both rates can be expressed as the number of bags per hour.
• ⌛ When combined, Ian and Kyandre can complete 8/15 of the task per hour.
• 🥖 In terms of bagging alone, it would take them 1 and 7/8 hours per bag.
• ⌛ The conversion of 7/8 hours to minutes is 52.5 minutes.

Questions & Answers

Q: How long does it take for Ian to rake a lawn and bag the leaves?

Ian takes 5 hours per bag, so it would take him 5 hours.

Q: How long does it take for Kyandre to rake a lawn and bag the leaves?

Kyandre takes 3 hours per bag, so it would take her 3 hours.

Q: What is their combined rate of bagging leaves per hour?

Ian can bag 1/5 of a bag per hour, while Kyandre can bag 1/3 of a bag per hour. Together, their combined rate is 8/15 of a bag per hour.

Q: How long does it take them to rake the lawn and bag the leaves together?

As a combined effort, it will take them 1 hour and 52.5 minutes to complete the task.

Summary & Key Takeaways

• Ian takes 5 hours per bag, or 1 bag every 5 hours.

• Kyandre takes 3 hours per bag, or 1 bag every 3 hours.

• When working together, Ian and Kyandre can complete the task in 1 hour and 52.5 minutes.