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Working in a South Side studio at a constant rate, Kanye can drop a full-length platinum LP in 5 weeks. Working at his

Expert replies
by M7MBA » Sun Apr 26, 2020 9:57 am

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty

Working in a South Side studio at a constant rate, Kanye can drop a full-length platinum LP in 5 weeks. Working at his own constant rate, Common can drop a full-length platinum LP in \(x\) weeks. If the two emcees work together at their independent rates, they can drop a full-length platinum compilation LP in 2 weeks. Assuming no efficiency is lost or gained from working together, how many weeks would it take Common, working alone, to drop a full-length platinum LP?

(A) 3 and 1/3 weeks
(B) 3 weeks
(C) 2 and 1/2 weeks
(D) 2 and 1/3 weeks
(E) 2 weeks


[spoiler]OA=A[/spoiler]

Source: Veritas Prep
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Source: — Problem Solving |

M7MBA wrote:
Sun Apr 26, 2020 9:57 am
Working in a South Side studio at a constant rate, Kanye can drop a full-length platinum LP in 5 weeks. Working at his own constant rate, Common can drop a full-length platinum LP in \(x\) weeks. If the two emcees work together at their independent rates, they can drop a full-length platinum compilation LP in 2 weeks. Assuming no efficiency is lost or gained from working together, how many weeks would it take Common, working alone, to drop a full-length platinum LP?

(A) 3 and 1/3 weeks
(B) 3 weeks
(C) 2 and 1/2 weeks
(D) 2 and 1/3 weeks
(E) 2 weeks

[spoiler]OA=A[/spoiler]

Source: Veritas Prep
Given the information, Kayne's one-week work = 1/5 and Common's one-week work = 1/x;

Thus, we have 1/5 + 1/x = 1/2 => x = 10/3 weeks = 3 and 1/3 weeks

The correct answer: A

Hope this helps!

-Jay
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M7MBA wrote:
Sun Apr 26, 2020 9:57 am
Working in a South Side studio at a constant rate, Kanye can drop a full-length platinum LP in 5 weeks. Working at his own constant rate, Common can drop a full-length platinum LP in \(x\) weeks. If the two emcees work together at their independent rates, they can drop a full-length platinum compilation LP in 2 weeks. Assuming no efficiency is lost or gained from working together, how many weeks would it take Common, working alone, to drop a full-length platinum LP?

(A) 3 and 1/3 weeks
(B) 3 weeks
(C) 2 and 1/2 weeks
(D) 2 and 1/3 weeks
(E) 2 weeks


[spoiler]OA=A[/spoiler]

Source: Veritas Prep
1/5 + 1/X = 1/2
2X + 10 = 5X

10 = 3X

X = 10/3 = 3 ⅓ weeks

Answer: A

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