Question 980007
Two hikers, Arione and Jairus, started from the same place at the same time and walked towards Lipa Cty, which is d km away from their place. Arione walked k km/hr faster than Jairus and reached Lipa h hour before him. Find the rate of each hiker.'


Let t be the time that Arione needed to reach destination at distance d.

Let r be Jairus's speed or rate.

Let d be the destination distance, d=90.
k=1,
h=1




_________________rate____________time____________distance
Arione___________r+k______________t_______________d
Jairus____________r______________t-h______________d


Unknown variables are r and t.


You may be tempted to immediately form RT expressions for d and equate the terms.  Do not.


{{{highlight(system((r+k)*t=d,r(t-h)=d))}}}


You can use one of the equations to find an expression for t, and substitute into the other equation, and solve for the value of r.