SOLUTION: A and B are 30 km apart.If they leave at the same time and travel in the same direction, A overtakes B in
60 hours.If they walk toward each other, they meet in 5 hours. What are t
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60 hours.If they walk toward each other, they meet in 5 hours. What are t
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Question 388589: A and B are 30 km apart.If they leave at the same time and travel in the same direction, A overtakes B in
60 hours.If they walk toward each other, they meet in 5 hours. What are their rates? Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! A and B are 30 km apart.If they leave at the same time and travel in the same direction, A overtakes B in
60 hours.If they walk toward each other, they meet in 5 hours. What are their rates?
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A rate = x km/h
B rate y km/h
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distance 30 km.
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same direction
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catch up rate = x-y kmph
catch up time = 60 hours
30/(x-y)=60
30=60(x-y)
divide by 30
1=2x-2y....................1
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Opposite direction
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speed = x+y
distance = 30 km
time = 5 hours
30/(x+y)=5
30=5(x+y0
/5
6=x+y.......................2
multiply (2) by 2
12=2x+2y
add this to (10
1+12=2x+2x+2y-2y
13=4x
/4
13/4 = x speed of A
plug x in (20
x+y=6
13/4 + y =6
y = 6-13/4 speed of B
m.ananth@hotmail.ca
