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.