SOLUTION: Two friends, 7 miles apart, start walking toward each other, and they meet in an hour. If one boy walks 1 mile farther in an hour than the other boy, how fast does each walk?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Two friends, 7 miles apart, start walking toward each other, and they meet in an hour. If one boy walks 1 mile farther in an hour than the other boy, how fast does each walk?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1028965: Two friends, 7 miles apart, start walking toward each other, and they meet in an hour. If one boy walks 1 mile farther in an hour than the other boy, how fast does each walk?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = the speed of the slower boy
+s+%2B+1+ = the speed of the faster boy
--------------
You can think of this as one of them standing still
and the other moving at the sum of their speeds
--------------
+7+=+%28+s+%2B+s+%2B+1+%29%2A1+
+7+=+2s+%2B+1+
+2s+=+6+
+s+=+3+
and
+s+%2B+1+=+4+
--------------
The speed of the slower boy is 3 mi/hr
The speed of the faster boy is 4 mi/hr
---------------------------------
check:
Equation for slower boy:
+d%5B1%5D+=+3%2A1+
+d%5B1%5D+=+3+
and
+d%5B2%5D+=+4%2A1+
+d%5B2%5D+=+4+
and
+d%5B1%5D+%2B+d%5B2%5D+=+3+%2B+4+
+d%5B1%5D+%2B+d%5B2%5D+=+7+ mi