Mathematics : asked on 2anymnt
 08.02.2020

Maria and Curtis both study a second language. Maria studies German 3 hours per week, and Curtis studies French 2 hours per week. Curtis has already studied 4 hours when Maria begins her studying. After how many weeks will they have studied the same number of hours?

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01.02.2023, solved by verified expert
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Answer:

4 weeks

Step-by-step explanation:

Curtis studies French 2 hours per week. Curtis has already studied 4 hours when Maria begins her studying.

Means Curtis is 2 week ahead of Maria. 

Maria studies German 3 hours per week.

Let after x weeks they have studied the same number of hours.

Number of hours of studies of Maria after x weeks= 3x 

Number of hours of studies of Curtis after x weeks = 2(x+2)

On equating number of hours of studies, 

3x = 2(x+2)

3x = 2x+4 

3x-2x = 4 

x = 4 weeks

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