SOLUTION: A boy covered 28km in 5 hours. He cycled part of the way at 11km/h and walked the rest of the way at 5km/h. How far did he walk?

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Question 1072531: A boy covered 28km in 5 hours. He cycled part of the way at 11km/h and walked the rest of the way at 5km/h. How far did he walk?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
RT=D, basic travel rate rule 

                 SPEED       TIME          DISTANCE
CYCLED            11              28-d
WALKED             5                     d
Totals                        5             28


d, the unknown distance walked.

Answer by ikleyn(52798)   (Show Source): You can put this solution on YOUR website!
.
Let W be the distance (in kilometers) he walked.


Then the distance he cycled is (28-D) kilometers.


The time walking is  hours.
The time he cycled is .


Your equation is

 = 5.


To solve it, multiply both sides by 55 (LCD = 55). You will get

11W + 5*(28-W) = 5*55,

11W + 140 - 5W = 275,

6W = 275 - 140 = 135  --->  W =  = 22.5.


Answer.  He walked 22.5 kilometers.

Solved.



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