aliegha1312
Answered

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1) Ming can pick forty bushels of apples in
14 hours. One day her friend Asanji
helped her and it only took 6 hours.
How long would it take Asanji to do it
alone?
A) 10.5 hours B) 16.49 hours
C) 11.42 hours D) 10.6 hours

Sagot :

whitneytr12

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.

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