A and B rum 1km race .if a gives B a start of 50 meter , A wins by 14 sec. and if A gives B a start of 22 sec ,B win by 20 meter, find the time taken by A to run 1km?

• (950/b) + (1000/a) = 14 -----(I)
  (1000/b) + (980/a) = 22 -----(II)
  solving both equation we get a= 10 m/s
  so to travel 1000 meters it requires 100 sec.
• 11 years agoHelpfull: Yes(18) No(14)
• when A runs 1000m B runs 950-14*sB
  when A runs 980m B runs 1000-22*sB
  hence
  1000/980=(950-14*sB)/(1000-22*sB)
  by calculation sB=5.03m/s
  950/5.03=189s
  time taken by A to complete 1 km =189-14=175s
  175sec
• 11 years agoHelpfull: Yes(13) No(9)
• its 100sec
• 11 years agoHelpfull: Yes(10) No(4)
• 28 sec is the answer?
• 11 years agoHelpfull: Yes(0) No(9)
• @GURU PRANAV
  The difference between A and B is 14 sec.
  How can we add the time of both A and B?
• 10 years agoHelpfull: Yes(0) No(0)
• laltu has the rite equation but the solution may not be correct
• 10 years agoHelpfull: Yes(0) No(0)