Answer :
It would take them approximately 6.35 hours to pick 40 bushels of apples together. Rounded to the nearest hundredth, the answer is 6.35. It would take Beth and Castel approximately 15.87 hours to pick forty bushels of apples together.
To solve this problem, we can use the formula: 1/t = 1/t1 + 1/t2
where t is the time it takes for both of them to pick 40 bushels of apples working together, t1 is the time it takes for Beth to pick 40 bushels of apples, and t2 is the time it takes for Castel to pick 40 bushels of apples.
Plugging in the given values, we get:
1/t = 1/11 + 1/15
Simplifying this expression, we get:
1/t = (15 + 11) / (11 x 15)
1/t = 26 / 165
Multiplying both sides by 165, we get:
t = 165 / 26
t ≈ 6.35
Therefore, it would take them approximately 6.35 hours to pick 40 bushels of apples together. Rounded to the nearest hundredth, the answer is 6.35.
To determine how long it would take Beth and Castel to pick forty bushels of apples together, we'll first find their individual rates of work.
Beth's rate:
40 bushels / 11 hours = 40/11 bushels per hour
Castel's rate:
40 bushels / 15 hours = 40/15 bushels per hour
Now, we'll find their combined rate by adding their individual rates:
(40/11) + (40/15) = (120 + 88) / 165 = 208/165 bushels per hour
Next, we'll find the time it takes for them to pick 40 bushels together by dividing the total bushels by their combined rate:
40 bushels / (208/165 bushels per hour) = (40 * 165) / 208 = 3300 / 208 = 15.87 hours
Rounded to the nearest hundredth, it would take Beth and Castel approximately 15.87 hours to pick forty bushels of apples together.
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