SOLUTION: two hikers, Arione and Jairus, started from the same place
at the same time and walked towards Lipa City, which is 90
kilometers away from their place. Arione walked 1
kilometer
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Question 979823: two hikers, Arione and Jairus, started from the same place
at the same time and walked towards Lipa City, which is 90
kilometers away from their place. Arione walked 1
kilometer per hour faster than Jairus and reached Lipa 1
hour before him. Find the rate of each hiker.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Jairus's speed in km/hr
= Arione's speed in km/hr
Let = Jairus's time in hrs
= Arione's time in hrs
---------------------------------
Jairus's equation:
(1)
Arione's equation:
(2)
---------------------
(2)
and
(1)
Substitute (1) into (2)
(2)
Multiply both sides by
(2)
(2)
(2)
I notice that , so
(2)
( time must be positive )
and
(1)
(1)
(1)
(1)
and
Ariones's rate is 10 km/hr
Jairus's rate is 9 km/hr
-----------------------
check:
(2)
(2)
(2)
and
(1)
(1)
(1)
OK
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