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Montano1993 [528]
3 years ago
7

My wife and I are Racing around a 400m track going opposite directions. I am running at 8 m/s and she has a head start of 50 met

ers running at 5 m/s, how long does it take for us to reach the same point ? Explain.
Mathematics
1 answer:
Vlad [161]3 years ago
5 0

Answer:

They both meet after 27 s.

Step-by-step explanation:

Length of track = 400 m

speed of man, v = 8 m/s

speed of woman, v' = 5 m/s

Woman is 50 m ahead of man.

Let the time taken to meet is t.

Let the man covered a distance d in time t o the woman covered a distance 400 - 50- d.

\frac{d}{8}=\frac{400-50-d}{5}\\\\5 d = 8 (350-d)\\\\13 d = 2800\\\\d = 215.4  m

The time taken is

t=\frac{215.4}8}\\\\\\t=27 s

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