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# M19-28

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Math Expert
Joined: 02 Sep 2009
Posts: 51185

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16 Sep 2014, 00:06
1
2
00:00

Difficulty:

45% (medium)

Question Stats:

71% (01:25) correct 29% (01:50) wrong based on 184 sessions

### HideShow timer Statistics

At 15:00 there were 20 students in the computer lab. At 15:03 and every three minutes after that, 3 students entered the lab. If at 15:10 and every ten minutes after that 8 students left the lab, how many students were in the computer lab at 15:44 ?

A. 7
B. 14
C. 25
D. 27
E. 30

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 51185

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16 Sep 2014, 00:06
1
2
Official Solution:

At 15:00 there were 20 students in the computer lab. At 15:03 and every three minutes after that, 3 students entered the lab. If at 15:10 and every ten minutes after that 8 students left the lab, how many students were in the computer lab at 15:44 ?

A. 7
B. 14
C. 25
D. 27
E. 30

During the 44 minutes between 15:00 and 15:44 $$\frac{42}{3} = 14$$ groups, 3 students each, entered the lab and $$\frac{40}{10} = 4$$ groups, 8 students each, left the lab. Thus, the number of students in the lab grew by $$14*3 - 8*4 = 10$$.

_________________
Manager
Joined: 01 Sep 2016
Posts: 194
GMAT 1: 690 Q49 V35

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12 Aug 2017, 01:41
I think this is a high-quality question and I agree with explanation. in love with this question. AMAZING
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Intern
Joined: 24 Oct 2016
Posts: 29

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08 Oct 2017, 22:20
This is a high quality question.

Posted from my mobile device
Intern
Joined: 04 Oct 2016
Posts: 8

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03 Sep 2018, 08:57
Bunuel wrote:
Official Solution:

At 15:00 there were 20 students in the computer lab. At 15:03 and every three minutes after that, 3 students entered the lab. If at 15:10 and every ten minutes after that 8 students left the lab, how many students were in the computer lab at 15:44 ?

A. 7
B. 14
C. 25
D. 27
E. 30

During the 44 minutes between 15:00 and 15:44 $$\frac{42}{3} = 14$$ groups, 3 students each, entered the lab and $$\frac{40}{10} = 4$$ groups, 8 students each, left the lab. Thus, the number of students in the lab grew by $$14*3 - 8*4 = 10$$.

Can someone please explain this in detail. How did we get 42 and 40 in numerators.
Math Expert
Joined: 02 Sep 2009
Posts: 51185

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03 Sep 2018, 22:47
mischiefmanaged wrote:
Bunuel wrote:
Official Solution:

At 15:00 there were 20 students in the computer lab. At 15:03 and every three minutes after that, 3 students entered the lab. If at 15:10 and every ten minutes after that 8 students left the lab, how many students were in the computer lab at 15:44 ?

A. 7
B. 14
C. 25
D. 27
E. 30

During the 44 minutes between 15:00 and 15:44 $$\frac{42}{3} = 14$$ groups, 3 students each, entered the lab and $$\frac{40}{10} = 4$$ groups, 8 students each, left the lab. Thus, the number of students in the lab grew by $$14*3 - 8*4 = 10$$.

Can someone please explain this in detail. How did we get 42 and 40 in numerators.

First 3 students entered the lab at 15:03. Next:
15:06;
15:12;
...
15:39
Last 3 students entered the lab at 15:42.

As you can see we have multiples of 3 from 3 to 42 inclusive. How many multiples of 3 are there in this range? (42 - 3)/3 + 1 = 14.

First 8 student group left the lat at 15:10.
15:20
15:30
15:40.
4 groups, 8 students each, left the lab.
_________________
Intern
Joined: 04 Oct 2016
Posts: 8

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04 Sep 2018, 00:27
Bunuel wrote:
mischiefmanaged wrote:
Bunuel wrote:
Official Solution:

At 15:00 there were 20 students in the computer lab. At 15:03 and every three minutes after that, 3 students entered the lab. If at 15:10 and every ten minutes after that 8 students left the lab, how many students were in the computer lab at 15:44 ?

A. 7
B. 14
C. 25
D. 27
E. 30

During the 44 minutes between 15:00 and 15:44 $$\frac{42}{3} = 14$$ groups, 3 students each, entered the lab and $$\frac{40}{10} = 4$$ groups, 8 students each, left the lab. Thus, the number of students in the lab grew by $$14*3 - 8*4 = 10$$.

Can someone please explain this in detail. How did we get 42 and 40 in numerators.

First 3 students entered the lab at 15:03. Next:
15:06;
15:12;
...
15:39
Last 3 students entered the lab at 15:42.

As you can see we have multiples of 3 from 3 to 42 inclusive. How many multiples of 3 are there in this range? (42 - 3)/3 + 1 = 14.

First 8 student group left the lat at 15:10.
15:20
15:30
15:40.
4 groups, 8 students each, left the lab.

Thank you very much.
Re: M19-28 &nbs [#permalink] 04 Sep 2018, 00:27
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# M19-28

Moderators: chetan2u, Bunuel

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