Problem Solving

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

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