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

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Director
Joined: 12 Feb 2015
Posts: 917
If Norbert can cut up one plastic six pack container in 30 seconds...  [#permalink]

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02 Nov 2018, 12:11
3
00:00

Difficulty:

35% (medium)

Question Stats:

72% (01:36) correct 28% (02:27) wrong based on 83 sessions

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If Norbert can cut up one plastic six pack container in 30 seconds, how long will take 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

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Manish

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Joined: 15 Feb 2018
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Re: If Norbert can cut up one plastic six pack container in 30 seconds...  [#permalink]

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02 Nov 2018, 16:06
1
1 six-pack in 30 second
512 six-packs in ?

512x0.5mins, double the decimal and half the whole number so it's easier to work with
256x1 min=256mins

256÷60 is hard

So simply: 60, 120, 180, 240

256-240=16

4 hours and 16 mins

E
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Joined: 12 Sep 2015
Posts: 4009
Re: If Norbert can cut up one plastic six pack container in 30 seconds...  [#permalink]

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02 Apr 2019, 07:58
Top Contributor
CAMANISHPARMAR wrote:
If Norbert can cut up one plastic six pack container in 30 seconds, how long will take 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

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

Cheers,
Brent

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Re: If Norbert can cut up one plastic six pack container in 30 seconds...  [#permalink]

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03 Apr 2019, 18:04
CAMANISHPARMAR wrote:
If Norbert can cut up one plastic six pack container in 30 seconds, how long will take 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

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.

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Re: If Norbert can cut up one plastic six pack container in 30 seconds...  [#permalink]

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15 Apr 2019, 17:36
Forget the division of 512.

We need to find how much time he can cut 512 containers.

If he cuts 2 containers per minute, then he can cut 120 per hour.

480 is the closest multiple to 120. So that's 480 containers in 4 hours.

The remainder is 32, if he can cut 2 per minute, then the remainder is 16 minutes.
Re: If Norbert can cut up one plastic six pack container in 30 seconds...   [#permalink] 15 Apr 2019, 17:36
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# If Norbert can cut up one plastic six pack container in 30 seconds...

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