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# Joe can program 100 lines of code in 40 minutes, which is twice the

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Math Expert
Joined: 02 Sep 2009
Posts: 50058
Joe can program 100 lines of code in 40 minutes, which is twice the  [#permalink]

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11 Apr 2017, 22:55
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Difficulty:

15% (low)

Question Stats:

88% (01:28) correct 13% (01:52) wrong based on 55 sessions

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Joe can program 100 lines of code in 40 minutes, which is twice the speed at which Tom can program the same lines. How many lines of code could they program together if they worked continuously, each at their own constant rate, for 12 minutes?

A. 90
B. 75
C. 60
D. 45
E. 30

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Intern
Joined: 15 Sep 2016
Posts: 6
Re: Joe can program 100 lines of code in 40 minutes, which is twice the  [#permalink]

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11 Apr 2017, 23:55
Let, rate of Tom be T.
then rate of Joe will be 2T.

From the given information, rate of Joe = 100/40 = 5/2 lines of code per minute.
or, we can say 2T = 5/2
T = 5/4
So rate of Tom is 5/4 lines of code per minute.

Combined rate of both Tom & Joe = 5/2 + 5/4 = 15/4 lines of code per minute.

Or we can say in 1 min both program 15/4 lines of code.
So in 12 min they will code (15/4 x 12) = 45 lines of code.

Intern
Joined: 07 Dec 2016
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Location: Germany
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Re: Joe can program 100 lines of code in 40 minutes, which is twice the  [#permalink]

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12 Apr 2017, 02:54
1
The two given rates are 100/40 Lines per Minute and 100/80 Lines per Minute.

Combined the two work at a rate of 300/80 per Minute. 300/80 x 12/1 = 3600/80 = 45

Hence (D)
Target Test Prep Representative
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Re: Joe can program 100 lines of code in 40 minutes, which is twice the  [#permalink]

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19 Apr 2017, 16:00
1
1
Bunuel wrote:
Joe can program 100 lines of code in 40 minutes, which is twice the speed at which Tom can program the same lines. How many lines of code could they program together if they worked continuously, each at their own constant rate, for 12 minutes?

A. 90
B. 75
C. 60
D. 45
E. 30

We are given that Joe can program 100 lines of code in 40 minutes, which is a rate of 100/40 = 2.5 lines per minute. Since his rate is twice that of Tom, Tom’s rate is 1.25 lines per minute.

Working together, their combined rate is 2.5 + 1.25 = 3.75 lines per minute.

Thus, in 12 minutes they could program 3.75 x 12 = 45 lines.

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Re: Joe can program 100 lines of code in 40 minutes, which is twice the &nbs [#permalink] 19 Apr 2017, 16:00
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