SOLUTION: in six hours A Walks 10 kilometers more than B does in 5 hours; and in 8 hours B walks seven kilometers more than A does in 5 hours. what are the speed of each person?

Algebra ->  Decimal-numbers -> SOLUTION: in six hours A Walks 10 kilometers more than B does in 5 hours; and in 8 hours B walks seven kilometers more than A does in 5 hours. what are the speed of each person?      Log On


   

Question 187193: in six hours A Walks 10 kilometers more than B does in 5 hours; and in 8 hours B walks seven kilometers more than A does in 5 hours. what are the speed of each person?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
6a+=+5b+%2B+10
6a+-+5b+=+10
6a+-+5b+=+10 mult by 5
30a+-+25b+=+50
8b+=+5a+%2B+7
-5a+%2B+8b+=+7 mult by 6
-30a+%2B+48b+=+42
Use elimination
30a+-+25b+=+50
-30a+%2B+48b+=+42 add
-----------------------
+23b+=+92
b+=+4
Now solve for a
6a+-+5b+=+10
6a+-+20+=+10
6a+=+30
a+=+5
Check your answers!!