Answer :
Final answer:
Ryan and Bill would take 6 minutes to wash a car together, while Jessica and Castel would take around 4.24 hours to harvest a field together.
Explanation:
The subject of the question is related to rate and work problems in mathematics; specifically, the time it takes Ryan and Bill to wash a car individually compared to how long they would take if they worked together. Similarly, it compares the time Jessica and Castel take to harvest a field individually and together.
When Ryan and Bill work together, their combined rate is the sum of their individual rates. Ryan can wash one car in 15 minutes, so his rate is 1/15 cars per minute. On the other hand, Bill can wash one car in 10 minutes, therefore his rate is 1/10 cars per minute. When both work together, their combined rate is 1/15 + 1/10 = 1/6 cars per minute, so they can complete washing a car in 1/(1/6) = 6 minutes.
Similarly, to find out how long Jessica and Castel would take to harvest the field together, first calculate their individual rates: Jessica's rate is 1/8 fields per hour and Castel's rate is 1/9 fields per hour. When both work together, their combined rate is 1/8 + 1/9 = 17/72 fields per hour, thus they would need 1/(17/72) = ~4.24 hours to complete the harvesting.
Learn more about Rate and Work here:
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