Respuesta :

answer: 11 hours

Step-by-step explanation: if they work together and split the forty bushes to pick in half {divide by two} then they pick twenty bushes of apples each. So they work half less {divide by two} . So it Maria would need five hours while kayla works six { add together} which equals 11 hours

Rate of work is inversely proportional to the time take. The time taken by both to pick up the forty table is 60/11 hours.

Given information-

Time taken by the Maria to pick up forty bushels of apples is 10 hours.

Time taken by the Kayla to pick up forty bushels of apples is 12 hours.

Time and work-

Efficiency is inversely proportional to the time taken when the amount of work done is constant.

Rate of work is inversely proportional to the time take.

As the time taken by the Maria to pick up forty bushels of apples is 10 hours. Thus the amount of work done by the Maria in 1 hours is,

[tex]=\dfrac{1}{10} [/tex]

As the time taken by the Kayla to pick up forty bushels of apples is 12 hours. Thus the amount of work done by the Kayla in 1 hours is,

[tex]=\dfrac{1}{12} [/tex]

The amount of the work done when they work together is,

[tex]\dfrac{1}{10} +\dfrac{1}{12} =\dfrac{6+5}{60} [/tex]

[tex]\dfrac{1}{10} +\dfrac{1}{12} =\dfrac{11}{60} [/tex]

Thus the time taken by both to pick up the forty table is 60/11 hours.

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