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
[tex]\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}[/tex]
[tex]\text{Speed}=\dfrac{24}{7}[/tex]
[tex]\text{Speed}=\dfrac{24}{7}[/tex]
The moving side walk has a length of 180 feet.
[tex]\text{Time}=\dfrac{\text{Distance}}{\text{Speed}}[/tex]
[tex]\text{Time}=\dfrac{180}{\dfrac{24}{7}}[/tex]
[tex]\text{Time}=\dfrac{180}{1}\times \dfrac{7}{24}[/tex]
[tex]\text{Time}=52.5[/tex]
Therefore, the time taken by the person to move from one end to the other is 52.5 seconds.