Answer:
The correct option is A: 10.5 h.
Step-by-step explanation:
We have that Ming can pick 14 bushels of apples in 14 hours:
[tex] M = \frac{14}{14 h} [/tex] (1)
When she is with Asanji, they took 6 h to pick the same number of bushels of apples:
[tex] M + A = \frac{14}{6 h} [/tex] (2)
So, we can find the time that will take Asanji by entering equation (1) into (2):
[tex] \frac{14}{14 h} + \frac{14}{x} = \frac{14}{6 h} [/tex]
[tex] \frac{14}{x} = 2.33 h^{-1} - 1 h^{-1} = 1.33 h^{-1} [/tex]
[tex] x = \frac{14}{1.33 h^{-1}} = 10.5 h [/tex]
Therefore, Asanji would take 10.5 hours to do it alone. The correct option is A.
I hope it helps you!
