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
A bucket full worns
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Let the number of worms = 60.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
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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We can create the proportion: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
(1/6)/5 = (1/4)/n
1/30 = 1/4n
4n = 30
n = 7.5
Answer: C
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