Question

An airport terminal has a moving sidewalk to speed passengers through a long corridor. Larry does not use the moving sidewalk; he takes 170 s to walk through the corridor. Curly, who simply stands on the moving sidewalk, covers the same distance in 65 s. Moe boards the sidewalk and walks along it. How long does Moe take to move through the corridor? Assume that Larry and Moe walk at the same speed.

Answer 1

It will take Moe 47.02 seconds to cover the same distance.

Step-by-step explanation:

Let the length of the corridor be 'd' thus speed of each person is given as under

For curly since he does not walk thus his speed is same as that of sidewalk

`V=(Distance)/(Time)\\\\V_(larry)=(d)/(170)\\\\V_(sidewalk)=(d)/(65)`

Now the time that moe requires is obtained from the same basic formula of distance and speed

`T_(Moe)=(d)/(V_(Moe))`

Now since Moe walks on the sidewalk his speed shall be the sum of his walking speed and speed of the sidewalk

Using the above statement we have

`T_(Moe)=(d)/(V_(sidewalk)+v_(walk))\\\\\therefore T_(Moe)=(d)/((d)/(65)+(d)/(170))\\\\T_(Moe)=47.02seconds`