Answer: Nancy needs 26 minutes to driving to work.
Step-by-step 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
![(1)/(3)x](https://img.qammunity.org/2019/formulas/mathematics/middle-school/96nnttrzhnpcg4c5e3makikreglxljcad8.png)
So, According to question,
![(x)/(3)+10+5=35(1)/(2)\\\\(x)/(3)+15=(71)/(2)\\\\(x)/(3)=(71)/(2)-15\\\\(x)/(3)=(71-30)/(2)=(41)/(2)\\\\x=(123)/(2)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/wuo591ro2qy6khn23s6veuomp72acj0rps.png)
Now, we need to find the time taken in driving to work which is given by
![\frac{123}{{2}-(71)/(2)=(52)/(2)=26\ minutes]()
Hence, Nancy needs 26 minutes to driving to work.