Question 998576
 in six hours A walks 10 kilometers more than B in five hours and in 8 hours B walks 7 kilometers more than A does in 5 hours what are the speeds of each person? 
-------

6a = 5b+10
8b = 5a+7
-----------------
Rearrange::
6a - 5b = 10
5a - 8b = -7
-----------------------
Modify for elimination::
30a - 25b = 50
30a - 48b = -42
-------------------
Subtract and solve for "b"::
23b = 92
b = 4 km/hr (B's rate)
-----
Solve for "a":
6a - 5b = 10
6a - 20 = 10
6a = 30
a = 5 km/hr (A's rate)
---------------
Cheers,
Stan H.
--------------