Question

In an x meter race competition, Bolt beat Griffith by 16 meters and Carl Lewis by 31
meters. But when Griffith and Carl Lewis run for the same race again, Griffith beats
Carl Lewis by 16 meters. What is the value of x?​

Answer 1

Given : In an x meter race competition,

Bolt beat Griffith by 16 meters and Carl Lewis by 31 meters.

But when Griffith and Carl Lewis run for the same race again, Griffith beats

Carl Lewis by 16 meters.

To Find :  What is the value of x

Solution:

Bolt beat Griffith by 16 meters and Carl Lewis by 31 meters.

Hence When bolt run  x m       in  t  mins

Then Griffith  run = ( x - 16) m   in  t  mins

and Carl Lewis  = (x  - 31)  m     in  t  mins

Griffith and Carl Lewis run for the same race again,

 time taken for  Griffith to complete the race x m   =  xt/(x - 16)

Carl Lewis   cover distance in time    xt/(x - 16)   =   (x  - 31) x/(x - 16)  m

 (x  - 31) x/(x - 16)   = x  -  16

=> x²  - 31x  = x²  + 256 - 32x

=> x = 256

value of x is 256 m

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