SOLUTION: sara and Bill live 13.5 miles apart . AT 10:00 AM they both leave their houses and start walking toward one another. THe ratio of Sara's speed to Bill's speed is 5:4. If they meet

Question 186673: sara and Bill live 13.5 miles apart . AT 10:00 AM they both leave their houses and start walking toward one another. THe ratio of Sara's speed to Bill's speed is 5:4. If they meet at 11:45 , how fast were they walking. Thanks
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sara and Bill live 13.5 miles apart . AT 10:00 AM they both leave their houses and start walking toward one another. THe ratio of Sara's speed to Bill's speed is 5:4. If they meet at 11:45 , how fast were they walking.
:
Let x = the multiplier of their speed
5x = Bill's speed
4x = Sara's speed
:
Their walking time 1.75 hrs
:
Write a distance equation: dist = time * speed
B's dist + S's dist = 13.5 mi
1.75(5x) + 1.75(4x) = 13.5
8.75x + 7x = 13.5
15.75x = 13.5
x =
B's speed = 5* = 4.2857 mph
S's speed = 4* = 3.4286 mph
;
;
Check solution by find the total distance
1.75*4.2857 = 7.5 mi
1.75*3.4286 = 6 mi
--------------------
total dist = 13.5 mi
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