SOLUTION: Two children, who are 224 meters apart, start walking toward each other at the same instant at rates of l.5 m/sec and 2 m/s, respectively. a) when will they meet? b) How far wi

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Question 68122This question is from textbook Algebra and Trigonometry
: Two children, who are 224 meters apart, start walking toward each other at the same instant at rates of l.5 m/sec and 2 m/s, respectively.
a) when will they meet?
b) How far will each have walked?
This question is from textbook Algebra and Trigonometry

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
It's important to see that the constant in this problem is the equal
times that it takes each child to meet the other.(t%5B1%5D+=+t%5B2%5D)
t%5B1%5D+=+d%5B1%5D+%2F+r%5B1%5D
t%5B2%5D+=+d%5B2%5D+%2F+r%5B2%5D
d%5B1%5D+=+d
d%5B2%5D+=+224+-+d
d+%2F+1.5+=+%28224+-+d%29+%2F+2
2d+=+1.5%28224+-+d%29
2d+=+336+-+1.5d
3.5d+=+336
d+=+96
Now find t
t%5B1%5D+=+d+%2F+r%5B1%5D
t%5B1%5D+=+96+%2F+1.5
t%5B1%5D+=+64 sec answer
check
t%5B2%5D should equal t%5B1%5D
t%5B2%5D+=+d%5B2%5D+%2F+r%5B2%5D
t%5B2%5D+=+%28224+-+d%29+%2F+2
t%5B2%5D+=+128+%2F+2
t%5B2%5D+=+64 sec
OK