134k views
4 votes
Sarah picks a bushel of apples in 45min. Andy picks a bushel of apples in 75min. How long will it take them to pick a bushel together?

1 Answer

4 votes

Final answer:

To find out how long it will take Sarah and Andy to pick a bushel of apples together, we can use the concept of rates. Sarah's picking rate is 1 bushel/45 minutes and Andy's is 1 bushel/75 minutes. Together, it will take them approximately 28.125 minutes to pick a bushel.

Step-by-step explanation:

To find out how long it will take Sarah and Andy to pick a bushel of apples together, we can use the concept of rates. Let's assume that they both pick at a constant rate.

Sarah picks a bushel in 45 minutes, so her picking rate is 1 bushel/45 minutes.

Similarly, Andy picks a bushel in 75 minutes, so his picking rate is 1 bushel/75 minutes.

To find out how long it will take them together, we can add their rates. 1/45 + 1/75 = 5/225 + 3/225 = 8/225.

This means that together, they can pick 8/225 of a bushel in 1 minute.

To pick a whole bushel, it will take them 225/8 minutes.

This is approximately equal to 28.125 minutes.

User Dayna
by
8.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories