+0  
 
0
74
1
avatar

George can walk at $ x$ miles per hour and he can rollerblade at $ x + 3$ miles per hour. He goes to the library walking with his rollerblades in his backpack and it takes him 15 minutes and when he comes home rollerblading along the same route, it takes him ony 9 minutes. Find the speed at which George walks.

 Feb 23, 2021
 #1
avatar+118069 
+2

Rate  * Time   =   Distance

 

Since  the  disi\tance is the same both ways we have

 

15 min  = 1/4 hr

9 min =   9/60  hr    =  3/20  hr

 

x * 1/4  =  (x + 3) (3/20)  simplify

 

x/4  = (3/20(x   +  9/20       nultiply throigh  by  20

 

5x  = 3x  +  9

 

5x - 3x   =  9

 

2x =  9

 

x = 9/2   = 4.5  mph  = walking speed

 

 

cool cool cool

 Feb 23, 2021

9 Online Users

avatar