SOLUTION: A child is running on a moving sidewalk in an airport. When he runs against the sidewalk's motion, he travels 78 ft in 13 seconds. When he runs with the sidewalk's motion, he trave

Question 934766: A child is running on a moving sidewalk in an airport. When he runs against the sidewalk's motion, he travels 78 ft in 13 seconds. When he runs with the sidewalk's motion, he travels 80 ft in 8 seconds. What is the rate of the child on a still sidewalk and what is the rate of the moving sidewalk?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = speed of the child on still sidewalk
y = speed of moving sidewalk
---
s = d/t
---
against the sidewalk's motion:
x - y = 78/13
x - y = 6
---
with the sidewalk's motion:
x + y = 80/8
x + y = 10
---
put the system of linear equations into standard form
---
x - y = 6
x + y = 10
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = speed of the child on still sidewalk = 8 ft/sec
y = speed of moving sidewalk = 2 ft/sec
---
Free algebra tutoring live chat:
https://sooeet.com/chat.php?gn=algebra
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations with quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
RELATED QUESTIONS
A child is running on a moving sidewalk in an airport. When he runs against the... (answered by addingup)

A child is running on a moving sidewalk in an airport. When he runs against the... (answered by addingup)

A child is running on a moving sidewalk in an airport. When he runs against the... (answered by fractalier)

A child is running on a moving sidewalk in an airport. When he runs against the... (answered by jorel1380)

A child is running on a moving sidewalk in an airport. When he runs against the... (answered by Boreal)

A child is running on a moving sidewalk in an airport. When he runs against the... (answered by stanbon)

A child is running on a moving sidewalk in an airport. When he runs against the... (answered by ikleyn)

Problem Page A child is running on a moving sidewalk in an airport. When he runs against (answered by ikleyn)