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Nancy’s morning routine involves getting dressed , eating breakfast, making her bed , and driving to work . Nancy spends 1/3 of the total time in the morning getting dressed , 10 minutes eating breakfast , 5 minutes making her bed and the remaining time driving to work. If Nancy spent 35 1/2 getting dressed, eating breakfast , and making her bed , how long was her drive to work ?

Respuesta :

Answer: Nancy needs 26 minutes to driving to work.

Explanation:

Since we have given that

Time taken in eating breakfast = 10 minutes

Time taken in making her bed = 5 minutes

Let the total time taken by her in doing routine activities be x

Time taken in getting dressed is given by

[tex]\frac{1}{3}x[/tex]

So, According to question,

[tex]\frac{x}{3}+10+5=35\frac{1}{2}\\\\\frac{x}{3}+15=\frac{71}{2}\\\\\frac{x}{3}=\frac{71}{2}-15\\\\\frac{x}{3}=\frac{71-30}{2}=\frac{41}{2}\\\\x=\frac{123}{2}[/tex]

Now, we need to find the time taken in driving to work which is given by

[tex]\frac{123}{{2}-\frac{71}{2}=\frac{52}{2}=26\ minutes[/tex]

Hence, Nancy needs 26 minutes to driving to work.

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