SOLUTION: An athlete can jog at twice her walking pace. By walking for a total of 1h 40 mins and jogging for a total of 30 minutes she covers a total distance of 16km. What is her walking pa

Question 1109742: An athlete can jog at twice her walking pace. By walking for a total of 1h 40 mins and jogging for a total of 30 minutes she covers a total distance of 16km. What is her walking pace in kilometres per hour (kph)?
Found 3 solutions by josmiceli, josgarithmetic, TeachMath:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Convert minutes to hrs
hrs
hrs
and
hrs
-----------------------------
Let = the walking pace
= jogging pace
Let = distance walking in km
= distance jogging in km
-----------------------------
(1)
(2)
-----------------------------
(2)
Plug (1) into (2)
(2)
(2)
(2)
(2)
-----------------------
Her walking pace is 2.25 km/hr
--------------------------------------
check:
(1)
(1)
and
(2)
(2)
(2)
OK

Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
r, rate walking
2r, rate jogging

Simplify and solve.
Answer by TeachMath(96)   (Show Source): You can put this solution on YOUR website!
With her walking pace being S, her jogging speed = 2S
A time equation can then be formed. This is: (1 40/60)S + 2S(30/60) = 16
Solving this results in a walking pace of 6 km/h
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