SOLUTION: Lan leaves Avon at noon biking to Batavia at 16 km/h at 1pm. Joey leaves Batavia abd bikes toward Avon at 20 km/h. If the distance between Avon and Batavia is 70 km, at what time
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Question 197408: Lan leaves Avon at noon biking to Batavia at 16 km/h at 1pm. Joey leaves Batavia abd bikes toward Avon at 20 km/h. If the distance between Avon and Batavia is 70 km, at what time do Lan and Joey meet?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Lan leaves Avon at noon biking to Batavia at 16 km/h
At 1pm, Joey leaves Batavia abd bikes toward Avon at 20 km/h.
If the distance between Avon and Batavia is 70 km, at what time do Lan and Joey meet?
:
Let t = L's travel time (leaves at noon)
then
(t-1) = J's travel time (leaves at 1 PM)
:
When the two meet, they will have traveled a total of 70 km.
:
Write a distance equation: dist = speed * time
;
L's dist + J's dist = 70 km
16t + 20(t-1) = 70
:
16t + 20t - 20 = 70
:
36t = 70 + 20
t =
t = 2.5 hrs which is 2 hr 30 min
therefore
they will meet a 2:30 PM
;
;
Check solution, find the distance of each
2.5*16 = 40
1.5*20 = 30
-----------
total = 70 km
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