A person on a moving sidewalk travels 24feet the in 7 seconds. The moving side walk has a length of 180 feet. How long will it take to move from one end to the other?

Respuesta :

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.