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A college student recently worked four weeks in a new summer job. In t
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29 Jun 2021, 10:23
29 Jun 2021, 10:23
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A college student recently worked four weeks in a new summer job. In the fourth week, the student worked 20% more hours than in the third week. In the third week, the student worked 25% more hours than in the second week. In the second week, the student worked 40% more hours than in the first week. If the student worked 42 hours in the fourth week on the job, how many hours did the student work in the first week on the job?
(A) 15
(B) 20
(C) 25
(D) 30
(E) 35
(A) 15
(B) 20
(C) 25
(D) 30
(E) 35
Re: A college student recently worked four weeks in a new summer job. In t
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29 Jun 2021, 19:51
29 Jun 2021, 19:51
2
Let the work done in first week = \(x\) hour
In the second week, the student worked 40% more hours than in the first week. Work done = \(1.4x\)
In the third week, the student worked 25% more hours than in the second week. Work done = \(1.75x\)
In the fourth week, the student worked 20% more hours than in the third week. Work done = \(2.1x = 42\) hours
By solving, \(x = 20\)
Answer B
In the second week, the student worked 40% more hours than in the first week. Work done = \(1.4x\)
In the third week, the student worked 25% more hours than in the second week. Work done = \(1.75x\)
In the fourth week, the student worked 20% more hours than in the third week. Work done = \(2.1x = 42\) hours
By solving, \(x = 20\)
Answer B
Re: A college student recently worked four weeks in a new summer job. In t
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29 Jun 2021, 21:55
29 Jun 2021, 21:55
2
Let the work done in the first week be a.
Then the work done in the second week is a*(1.4){because 40% more).
Then the work done in the third week is a*(1.4)(1.25)
Then the work done in the fourth week is a*(1.4)(1.25)(1.2) = 42
divide the following and get the answer a = 20.
Then the work done in the second week is a*(1.4){because 40% more).
Then the work done in the third week is a*(1.4)(1.25)
Then the work done in the fourth week is a*(1.4)(1.25)(1.2) = 42
divide the following and get the answer a = 20.
