1)In a race of 500 m, L beats M by 40 sec and beats N by 125m. If M and N run a 500m race, M beats N by 40 secs. Find the time taken by M to run the race? (in secs)
Please explain the approach

1) 240
2) 280
3) 320
4) 360

• Let tl be time taken for L,and L,M,N BE THE SPEEDS .
  THEN,Tl=500/L
  Tl=375/N
  COMPARING we get L/N=4/3
  Tl+80=500/N
  NOW (Tl+80)/Tl=(500/L)/(500/N)
  Tl=240
  Tm=240+40=280
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