Question

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 meters running at 5 m/s, how long does it take for us to reach the same point ? Explain.

Answer 1

They both meet after 27 s.

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.

`(d)/(8)=(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`