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An empty barrel is filled with oil at a constant rate that takes 10 hours to fill 6/7 of its capacity. How much more

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by Vincen » Wed Jul 22, 2020 12:25 pm
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An empty barrel is filled with oil at a constant rate that takes 10 hours to fill 6/7 of its capacity. How much more time will it take to finish filling the barrel?

A. 1 hr. 50 mins.
B. 1 hr. 40 mins.
C. 1 hr. 30 mins.
D. 1 hr. 20 mins.
E. 1 hr.

[spoiler]OA=B[/spoiler]

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Re: An empty barrel is filled with oil at a constant rate that takes 10 hours to fill 6/7 of its capacity. How much more

by Scott@TargetTestPrep » Sat Jul 25, 2020 2:21 pm
Vincen wrote: ↑
Wed Jul 22, 2020 12:25 pm
 An empty barrel is filled with oil at a constant rate that takes 10 hours to fill 6/7 of its capacity. How much more time will it take to finish filling the barrel?

A. 1 hr. 50 mins.
B. 1 hr. 40 mins.
C. 1 hr. 30 mins.
D. 1 hr. 20 mins.
E. 1 hr.

[spoiler]OA=B[/spoiler]

Solution:

The remaining capacity is 1/7 of the barrel. We can use a proportion to determine how much time it will take to finish filling the barrel.

10/(6/7) = x/(1/7)

70/6 = 7x

70 = 42x

70/42 = x

10/6 = x

5/3 = x

So, it takes 1⅔ hours or 1 hour and 40 minutes more to finish filling the barrel.

Answer: B

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