Question 1030069
The speed of a moving sidewalk at an airport is 66​ft/sec. 
A person can walk 3838 ft forward on the moving sidewalk in the same time it takes to walk 1010 ft on a nonmoving sidewalk in the opposite direction.
 At what rate would a person walk on a nonmoving​ sidewalk?
:
let r = his rate walking on a non-moving sidewalk
then
(r+66) = his rate forward on moving sidewalk
:
write a time equation; time = dist/speed
{{{1010/r}}} = {{{3838/((r+66))}}}
Cross multiply
3838r = 1010(r+66)
3838r = 1010r + 66660
3838r - 1010r = 66660
r = 66660/2828
r = 23.57 ft/sec
:
:
Check this, find the actual time of each scenario
{{{1010/23.57}}} = 42.85 sec
{{{3838/((23.57+66))}}} = 42.85 sec