SOLUTION: a man rode a bike fot 12 miles and then hiked an addiyional 8 miles. the time of the trip was 5 hrs. if his rate when rifing the bike was 10 miles per hr fastr than his walking rat
Algebra ->
Test
-> SOLUTION: a man rode a bike fot 12 miles and then hiked an addiyional 8 miles. the time of the trip was 5 hrs. if his rate when rifing the bike was 10 miles per hr fastr than his walking rat
Log On
Question 751549: a man rode a bike fot 12 miles and then hiked an addiyional 8 miles. the time of the trip was 5 hrs. if his rate when rifing the bike was 10 miles per hr fastr than his walking rate what was each rate? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = his speed in mi/hr walking = his speed in mi/hr riding the bike
Let = his time in hrs spent walking = his time in hrs spent riding bike
-----------------
Equation when riding bike:
(1)
Equation when walking:
(2)
--------------
(1)
(1)
(1)
and
(2)
(2)
Substitute this into (1)
(1)
(1)
Multiply both sides by
(1)
(1)
(1)
complete the square
(1)
(1)
(1)
(1)
(1)
and
His speed in mi/hr walking is 2 mi/hr
His speed in mi/hr riding the bike is 12 mi/hr
check:
(2)
(2)
(2) hrs
and
(1)
(1)
(1)
(1)
(1)
(1)
(1) hrs
OK
