SOLUTION: hey, would you please be able to help me with the following question a student runs three times as fast as she walks. she walked for 3 hours and ran for 2 hours and altogether wen

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Question 571510: hey, would you please be able to help me with the following question
a student runs three times as fast as she walks. she walked for 3 hours and ran for 2 hours and altogether went 36km. what was her speed of walking
thanks

Found 2 solutions by josmiceli, reviewermath:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = her speed walking in km/hr
= her speed running in km/hr
Let = distance traveled walking in km
= distance traveled running in km
-----------------
Her equation walking:
(1)
Her equation running:
(2)
--------------------
(2)
Substitute (1) into (2)
(2)
(2)
(2)
Her speed walking was 4 km/hr
check answer:
(1)
(1)
(1)
and
(2)
(2)
(2)
OK

Answer by reviewermath(1029)   (Show Source): You can put this solution on YOUR website!
Let x = walking speed
so 3x = running seed
Use
Equation: 3x + 2(3x) = 36
9x = 36
x = 4
speed of walking = 4kph
Answer: 4 kph

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