Question

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

Answer 1

The correct option is A: 10.5 h.

Explanation:

We have that Ming can pick 14 bushels of apples in 14 hours:

`M = (14)/(14 h)` (1)

When she is with Asanji, they took 6 h to pick the same number of bushels of apples:

`M + A = (14)/(6 h)` (2)

So, we can find the time that will take Asanji by entering equation (1) into (2):

`(14)/(14 h) + (14)/(x) = (14)/(6 h)`

`(14)/(x) = 2.33 h^(-1) - 1 h^(-1) = 1.33 h^(-1)`

`x = (14)/(1.33 h^(-1)) = 10.5 h`

Therefore, Asanji would take 10.5 hours to do it alone. The correct option is A.

I hope it helps you!