SOLUTION: A child is running on a moving sidewalk in an airport. When she runs against the sidewalk's motion, she travels
50ft
in
10
seconds. When she runs with the sidewalk's motion
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50ft
in
10
seconds. When she runs with the sidewalk's motion
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Question 1110220: A child is running on a moving sidewalk in an airport. When she runs against the sidewalk's motion, she travels
50ft
in
10
seconds. When she runs with the sidewalk's motion, she travels
91ft
in
13
seconds. What is the rate of the child on a still sidewalk and what is the rate of the moving sidewalk? Found 2 solutions by Alan3354, ankor@dixie-net.com:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! A child is running on a moving sidewalk in an airport.
When she runs against the sidewalk's motion, she travels 50ft in 10 seconds.
When she runs with the sidewalk's motion, she travels 91ft in 13 seconds.
What is the rate of the child on a still sidewalk and what is the rate of the moving sidewalk?
let w = the walking speed of the child
let s = the moving sidewalk speed
Write an equation for each way
10(w-s) = 50
13(w+s) = 91
simplify both equation; divide 1st eq by 10, the 2nd eq by 13, we have
w - s = 5
w + s = 7
----------addition eliminates s, find w
2w = 12
w = 6 ft/sec on a still sidewalk
Find s
6 + s = 7
s = 1 ft/sec is speed of the moving sidewalk
