Lance arrives early at the airport (with

owers and balloons in hand) to welcome a
friend. Her plane is delayed. While waiting, he notices that it takes 2 minutes 47 seconds to get down the hall on the moving sidewalk. While walking (not on the moving sidewalk), it took him 110 seconds. If he walks while on the sidewalk how long will it take him (s)?

There's an error to your formula. (167*110) should be on the top, not the bottom of the fraction. If it's on the bottom you would be doing 277/18370 = 0.015 instead of 18370/277 = 66.31.

To calculate the time it will take for Lance to walk on the moving sidewalk, we first need to know the speed of the sidewalk relative to Lance's walking speed. We can find this by subtracting the time it took Lance to walk without the moving sidewalk from the time it took him on the moving sidewalk.

Time on moving sidewalk = Time without moving sidewalk - Time on moving sidewalk

Let's perform the calculation:

Time without moving sidewalk = 110 seconds

Time on moving sidewalk = 2 minutes 47 seconds = 2 x 60 seconds + 47 seconds = 120 seconds + 47 seconds = 167 seconds

Time on moving sidewalk = 110 seconds - 167 seconds

Time on moving sidewalk = -57 seconds

Since the calculated time on the moving sidewalk is negative, it means that Lance will never be able to reach the end of the moving sidewalk by walking on it. Therefore, we can say it will take him an infinite amount of time.

To find out how long it will take Lance to walk down the hall on the moving sidewalk, we need to determine the combined speed of Lance and the moving sidewalk.

First, let's calculate Lance's walking speed. We know that it took him 110 seconds to walk down the hall without the moving sidewalk. Therefore, his walking speed can be calculated by dividing the distance of the hall by the time it took.

Next, let's calculate the speed of the moving sidewalk. We know that it took Lance 2 minutes 47 seconds (or 2 * 60 + 47 = 167 seconds) to get down the hall while on the moving sidewalk. In this case, the length of the hall remains the same, but we need to find the speed of the moving sidewalk that, when combined with Lance's walking speed, results in the observed time.

Once we have both speeds, we can add them to calculate the speed at which Lance would be moving on the sidewalk.

Finally, to determine how long it will take Lance to walk down the hall while on the sidewalk, we divide the length of the hall by the combined speed.

Let's use these steps to find the answer:

1. Calculate Lance's walking speed:
Walking Speed = Distance / Time
Walking Speed = Distance / 110 seconds

2. Calculate the speed of the moving sidewalk:
Speed of Moving Sidewalk = Distance / 167 seconds - Walking Speed

3. Calculate the combined speed on the sidewalk:
Combined Speed = Walking Speed + Speed of Moving Sidewalk

4. Calculate the time to walk down the hall while on the sidewalk:
Time = Distance / Combined Speed

By following these steps, you can find out how long it will take Lance to walk down the hall on the moving sidewalk.

Velocity walking on sidewalk=velocitysidqalk+velocitywalking

= distance/time1+distance/time2
= distance/167sec+ distance/110 seconds

= 110 distance+167distance/(110*167)

or 277 *distance/(110*167)

or
distance/timewalkingonsidewalk=above

timewalkingonsidewalk=110*167/277