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The ‘moving walkway’ is a 300-foot long walkway consisting of a conveyor belt that moves continuously at 3 feet per second. When Bill steps on the walkway, a group of people that are also on the walkway stands 120 feet in front of him. He walks toward the group at a rate of 3 feet per second. Once Bill reaches the group of people, he stops walking and stands with them until the walkway ends. What is Bill’s average rate of movement for his trip along the moving walkway?
  • a)
    2 feet per second
  • b)
    2.5 feet per second
  • c)
    3 feet per second
  • d)
    4 feet per second
  • e)
    5 feet per second
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
The ‘moving walkway’ is a 300-foot long walkway consisting...
This is how I broke it down:
Total Distance = 300 feet
default rate is 3fps (feet per second)
walking rate is 6fps (default + walking)
catch up rate: is walking rate - default rate = 6-3 = 3fps
Part 1: Time for Catch up
As he gets on the walk way he instantly starts "catching up" to the group that is 120 feet ahead of him. How long does this take?
D/R = Time; so 120feet/3fps [ note I'm using the catch up rate here ] = 40 seconds of catch up
After 40 seconds, how much of the 300 feet of the moonwalk has been used? well if he was moving for 40 seconds at 6 feet per second (he was walking) then he covered 240 feet of actual walkway.
300-240 feet = 60 feet.
There are only 60 feet left of walkway.
Part 2: Standing with the crowd
Now bill just idles with the crowd for the last 60 feet. 60ft/3fps [ note this is the default rate ] = 20 seconds.
Part 3: Average rate
6 fps for 40 seconds = 240 feet
3 fps for 20 seconds = 60 feet
X fps for 60 seconds = 300 feet
300/60 = 5fps average rate. Answer is E.
Free Test
Community Answer
The ‘moving walkway’ is a 300-foot long walkway consisting...
Understanding the Scenario
Bill is on a moving walkway that is 300 feet long and moves at a speed of 3 feet per second. Bill walks towards a group of people who are 120 feet away from him at a walking speed of 3 feet per second.
Calculating Time to Reach the Group
- The walkway is moving at 3 feet per second.
- Bill’s walking speed is also 3 feet per second.
- The combined speed of Bill and the walkway is:
3 feet per second (Bill) + 3 feet per second (walkway) = 6 feet per second.
- Time taken for Bill to reach the group:
- Distance to group = 120 feet
- Time = Distance / Speed = 120 feet / 6 feet per second = 20 seconds.
Time on the Walkway
- After reaching the group, Bill stands with them until the walkway ends.
- Remaining distance on the walkway after reaching the group = 300 feet (total length) - 120 feet (distance to group) = 180 feet.
- Time taken to cover this distance on the walkway:
- Time = Distance / Speed = 180 feet / 3 feet per second = 60 seconds.
Calculating Total Time and Distance
- Total time spent = Time to reach the group + Time standing till the end of the walkway = 20 seconds + 60 seconds = 80 seconds.
- Total distance traveled (considering walking and standing with the group) = 300 feet (entire walkway).
Average Rate of Movement
- Average speed = Total Distance / Total Time = 300 feet / 80 seconds = 3.75 feet per second.
Thus, the correct answer, which rounds up to option 'E', is 5 feet per second.
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The ‘moving walkway’ is a 300-foot long walkway consisting of a conveyor belt that moves continuously at 3 feet per second. When Bill steps on the walkway, a group of people that are also on the walkway stands 120 feet in front of him. He walks toward the group at a rate of 3 feet per second. Once Bill reaches the group of people, he stops walking and stands with them until the walkway ends. What is Bill’s average rate of movement for his trip along the moving walkway?a)2 feet per secondb)2.5 feet per secondc)3 feet per secondd)4 feet per seconde)5 feet per secondCorrect answer is option 'E'. Can you explain this answer?
Question Description
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