+0  
 
0
34
1
avatar

The speed of a moving walkway is about 3.5 feet per second. Walking on the moving​ walkway, it takes Maria a total of 40 seconds to travel 70 feet with the movement of the walkway and then back again against the movement of the walkway. What is Maria's normal walking​ speed?

 Feb 24, 2020
 #1
avatar
0

Let her normal walking speed =W
Her walking speed WITH the walkway=W + 3.5
Her walking speed AGAINST the walkway =W - 3.5
Let the time it took her to walk with the walkway=T
The time it took her to walk against the walkway =40 - T


T * [W + 3.5] + [40 - T] * [W - 3.5] =70................(1)
[70/2] / [W+3.5]  +  [70/2] / [W-3.5]=40...............(2), solve for T, W.
T  =4.3846 seconds
W =4.4827 =~4.5 feet/sec - her normal walking speed.

 Feb 24, 2020

42 Online Users

avatar
avatar
avatar
avatar
avatar
avatar
avatar