A bucket full worns

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BTGmoderatorLU: Moderator; Posts: 2505; Joined: Sun Oct 15, 2017 1:50 pm; Followed by:6 members

A bucket full worns

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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Source: Beat The GMAT — Problem Solving | Mon May 06, 2019 7:23 pm

GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pm; Location: New York, NY; Thanked: 13060 times; Followed by:1906 members; GMAT Score:790

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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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

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