Question

2 persons are running around a circular track of 391m length starting at same time from the same point at a speed of 17 m/s and 23 m/s respectively.when they would meet for the first time at the starting point if they were moving in opposite direction?

Answer 1

Let that  they we  will meet  after  t  second. In this  time  first  one will travel x distance and second  one  will travel 391 - x m.

For  first:

Distance = x

speed  = 17 m/s

time  = t

We know that,

speed  = distance/time

17 = x/t

x = 17t

For second:

Distance = 391 - x

speed = 23 m/s

time  = t

speed = distance/time

23 = (391 - x)/t

23t = 391 - x

putting  x = 17t

23t = 391 - 17t

23t + 17t = 391

40t = 391

t =  391/40

t =  9.77 second