If Norbert can cut up one plastic six pack container in 30

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BTGmoderatorLU: Moderator; Posts: 2550; Joined: Sun Oct 15, 2017 1:50 pmFollowed by: 6 members

by BTGmoderatorLU » Mon Apr 01, 2019 2:38 pm

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Source: Veritas Prep

If Norbert can cut up one plastic six-pack container in 30 seconds, how long will it take him to cut up 512 six-pack containers?

A. 4 hours
B. 4 hours 4 minutes
C. 4 hours 12 minutes
D. 4 hours 15 minutes
E. 4 hours 16 minutes

The OA is E

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Source: Beat The GMAT — Problem Solving | Mon Apr 01, 2019 2:38 pm

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Tue Apr 02, 2019 6:56 am

BTGmoderatorLU wrote:Source: Veritas Prep

If Norbert can cut up one plastic six-pack container in 30 seconds, how long will it take him to cut up 512 six-pack containers?

A. 4 hours
B. 4 hours 4 minutes
C. 4 hours 12 minutes
D. 4 hours 15 minutes
E. 4 hours 16 minutes

The OA is E

We can solve this question by applying equivalent ratios

For every 30 seconds that elapse, Norbert can cut up 1 plastic six-pack container
In other words, for every 0.5 MINUTES that elapse, Norbert can cut up 1 plastic six-pack container

Let t = the time (in MINUTES) to cut up 512 plastic six-pack containers

We can write: t/512 = 0.5/1
Cross multiply to get: (1)(t) = (512)(0.5)
Simplify to get: t = 256 MINUTES

256 minutes = 240 minutes + 16 minutes
= 4 hours + 16 minutes

Answer: E

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8149; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Wed Apr 03, 2019 5:03 pm

BTGmoderatorLU wrote:Source: Veritas Prep

If Norbert can cut up one plastic six-pack container in 30 seconds, how long will it take him to cut up 512 six-pack containers?

A. 4 hours
B. 4 hours 4 minutes
C. 4 hours 12 minutes
D. 4 hours 15 minutes
E. 4 hours 16 minutes

The OA is E

If Norbert can cut up one container in 30 seconds, then he can cut up 2 containers in one minute. Thus it will take him 512/2 = 256 minutes to cut up all the containers and 256 minutes = 256/60 = 4 hours and 16 minutes.

Answer: E

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