Question 145520
Linda headed east at 20 mph on her bicycle at 9am. Three hours later Shana headed west from the same place walking at 6 mph. What time was it that they were 164 miles apart?
:
Let x = L's travel time on the bike (starting at 9am)
Then
(x-3) = S's walking time (starting at noon)
:
Write a distance equation: Dist = speed * time
:
L's Dist + S's dist = 164 mi
20x + 6(x-3) = 164
:
20x + 6x - 18 = 164
:
26x = 164 + 18
x = {{{182/26}}}
x = 7 hrs
;
7 hr from 9am = 4pm
:
:
Check solution by finding the dist of each (walking time = 4hrs)
4(6)  =  24
7(20) = 140
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total = 164