Given:
A person on a moving sidewalk travels 24 feet the in 7 seconds.
The moving side walk has a length of 180 feet.
To find:
Time taken by the person to move from one end to the other.
Solution:
A person on a moving sidewalk travels 24feet the in 7 seconds.
The speed of the person is
![\text{Speed}=\frac{\text{Distance}}{\text{Time}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/8cdkrhu7f0oeccy8xkapvf6gsz60u03hwt.png)
![\text{Speed}=(24)/(7)](https://img.qammunity.org/2022/formulas/mathematics/high-school/ilyp8hk3ez6lplnx1we32v8fbkrsu4vplw.png)
![\text{Speed}=(24)/(7)](https://img.qammunity.org/2022/formulas/mathematics/high-school/ilyp8hk3ez6lplnx1we32v8fbkrsu4vplw.png)
The moving side walk has a length of 180 feet.
![\text{Time}=\frac{\text{Distance}}{\text{Speed}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/gey12fl7iq6hr1ri1pz3fngcn9sba63ik3.png)
![\text{Time}=(180)/((24)/(7))](https://img.qammunity.org/2022/formulas/mathematics/high-school/9h9qfaxc37gmohykk9s3txg1qjgdfsadqa.png)
![\text{Time}=(180)/(1)* (7)/(24)](https://img.qammunity.org/2022/formulas/mathematics/high-school/dgi0dsyho9bxghqh69gzuwpeyip5e2i562.png)
![\text{Time}=52.5](https://img.qammunity.org/2022/formulas/mathematics/high-school/fcf48dh7hmlg0c8mm9654csnnzv527yjyd.png)
Therefore, the time taken by the person to move from one end to the other is 52.5 seconds.