Question

A child is running on a moving sidewalk in an airport. When she runs against the sidewalk's motion, she travels 39 ft in 13 seconds. When she runs with the sidewalk's motion, she travels 65 ft in the same amount of time. What is the rate of the child on a still sidewalk and what is the rate of the moving sidewalk?

Answer 1

is this for an algebra class?

Answer 2

if so i think you just need to set up a system of equations. if its more complicated than that then im not sure

Answer 3

let x be child speed and s be sidewalk speed

Answer 4

distance rate and time

Answer 5

x - s = 39

Answer 6

x + s = ?

Answer 7

solve for x and s?

Answer 8

65

Answer 9

i honestly dont know if thats right, but thats my guess

Answer 10

by "sidewalk", do you mean a conveyor belt? A sidewalk is a motionless piece of cement

Answer 11

yes 65 is correct

Answer 12

do you know how to solve a system?

Answer 13

belt

Answer 14

2 equations 2 unknowns

Answer 15

@billj5 you are doing absolutely right, we just did a question like that but Faine is having a little trouble so she's doing more, I hope you can help her though

Answer 16

@Nishant_Garg ah good, ty b/c i wasnt sure @Faine so what are the two equations we have now?

Answer 17

actually
\[x-y=3\]and\[x+y=5\]

Answer 18

all speeds are in ft/second

Answer 19

ah ok, you divided by 13,

Answer 20

apologize

Answer 21

yeah, its an equation of speeds, so we would need to calculate the speeds first 39/13 and 65/13

Answer 22

ah ok

Answer 23

@Faine what method do you prefer to use to solve this system?

Answer 24

s - f = 3
s + f = 5

Answer 25

5 = 3 = 8
2/8 = 4