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A bucket full worns

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by BTGmoderatorLU » Mon May 06, 2019 7:23 pm
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Source: Economist GMAT

A bucket full of worms kept for Mike's next fishing trip was discovered by the rat that resides in the basement. The rat eats a sixth of the total number of worms in 5 hours. How much time will it take the rat to finish a quarter of the worms?

A. 4 hours
B. 6 hours
C. 7.5 hours
D. 8 hours
E. 30 hours

The OA is C
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by GMATGuruNY » Tue May 07, 2019 3:00 am
BTGmoderatorLU wrote:Source: Economist GMAT

A bucket full of worms kept for Mike's next fishing trip was discovered by the rat that resides in the basement. The rat eats a sixth of the total number of worms in 5 hours. How much time will it take the rat to finish a quarter of the worms?

A. 4 hours
B. 6 hours
C. 7.5 hours
D. 8 hours
E. 30 hours
Let the number of worms = 60.
Since the rat eats 1/6 of the 60 worms -- in other words, 10 worms -- in 5 hours, the rat's rate = w/t = 10/5 = 2 worms per hour.
1/4 of the 60 worms = 60/4 = 15 worms.
Since the rat's rate = 2 worms per hour, the time for the rat to eat 15 worms = w/r = 15/2 = 7.5 hours.

The correct answer is C.
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by Scott@TargetTestPrep » Thu May 09, 2019 5:09 pm
BTGmoderatorLU wrote:Source: Economist GMAT

A bucket full of worms kept for Mike's next fishing trip was discovered by the rat that resides in the basement. The rat eats a sixth of the total number of worms in 5 hours. How much time will it take the rat to finish a quarter of the worms?

A. 4 hours
B. 6 hours
C. 7.5 hours
D. 8 hours
E. 30 hours

The OA is C
We can create the proportion:

(1/6)/5 = (1/4)/n

1/30 = 1/4n

4n = 30

n = 7.5

Answer: C

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