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Tough and Tricky questions: Work/Rate Problems.

A group of 4 junior lawyers require 5 hours to complete a legal research assignment. How many hours would it take a group of three legal assistants to complete the same research assignment assuming that a legal assistant works at two-thirds the rate of a junior lawyer?

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26 Nov 2014, 09:45

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Assuming that all junior lawyers work at the same rate, we can formulate the expression of 4*1/x (representing the 4 lawyers working together) and this equals 1/5 (reciprocal of the time it takes them together). Solving for x yields 20 hours (the time it takes one lawyer working alone). Since the assistants work at 2/3 the rate, it takes each of them 20*3/2=30 hours individually. For 3 of them working together, it takes 3*1/30 = 1/10, which is the reciprocal of 10 hours for them working as a group.

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26 Nov 2014, 11:46

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Convert rate of assistant to junior lawyer, Assistant = 2/3 Jr.lawyer, so 3 assistants = 2/3 * 3 = 2 junior lawyer. Now 4 lawyers completed the job in 5hrs so 2 of them will complete in 5*2 = 10hrs

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26 Nov 2014, 12:01

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Bunuel wrote:

Tough and Tricky questions: Work/Rate Problems.

A group of 4 junior lawyers require 5 hours to complete a legal research assignment. How many hours would it take a group of three legal assistants to complete the same research assignment assuming that a legal assistant works at two-thirds the rate of a junior lawyer?

A) 13 B) 10 C) 9 D) 6 E) 5

Kudos for a correct solution.

Source: Chili Hot GMAT

one hr work of 4 lawyers is 1/5 then one hr work of 1 lawyer will be 1/20 given that assistant works at two-thirds the rate of a junior lawyer therefore in one hr an assistant will complete 2/3 of 1/20 i.e 1/30 of work then one hr work of a group of 3 assistants will be 3* 1/30 = 1/10 thus a group of 3 assistant will complete the work in 10 hours [B]
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Re: A group of 4 junior lawyers require 5 hours to complete a legal resear [#permalink]

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12 Jan 2015, 11:02

Unless my line of reasoning is not correct, this one was actually extremely easy, if you just notice this:

# of people times the # of hours: 4*5 = 20 --> 4 lawyers do 20 "works" in 5 hours. 3*10/3 = 30/3 = 10 --> 3 assistants do 10 "works" in 10/3 hours (2/3*5= 10/3)

So, since the amount of work the assistants do is half the work the lawyers do, the time will be double, so ANS B

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22 Feb 2016, 17:38

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Re: A group of 4 junior lawyers require 5 hours to complete a legal resear [#permalink]

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25 Feb 2016, 15:20

Bunuel wrote:

Tough and Tricky questions: Work/Rate Problems.

A group of 4 junior lawyers require 5 hours to complete a legal research assignment. How many hours would it take a group of three legal assistants to complete the same research assignment assuming that a legal assistant works at two-thirds the rate of a junior lawyer?

Re: A group of 4 junior lawyers require 5 hours to complete a legal resear [#permalink]

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01 Aug 2017, 23:06

So there are 4 junior lawyers and they work for 5 hours, therefore the total work is of 20 units (number of men *number of hours) Now the rate of the junior lawyer is total work / total time = 20/5=4 units / hour Now the rate of the legal assistant is 2/3 of the rate of the junior Therefore, 2/3 (4)=8/3 is the rate of the legal assistant Is my method of calculation wrong and also can someone help me know as to where am I going wrong in my concepts. Thanks in advance