ram and shakil run a race of 2000m. ram gives shakil a start of 200m and beats by 1min. next ram gives shakil a start of 6 mins and beats him by 1000m. find time in mins can run race seperately

• ram travel 2000m then sakil travel 1800-v.[v = velocity of sakil]
  ram travel 1000m then sakil travel 2000-6v.
  i.e.2000/1000 = 1800-v/2000-6v
  v = 200m/min
  time taken by sakil=2000/200 = 10min
  similrly time taken by ram = 8min
• 9 years agoHelpfull: Yes(9) No(6)
• check this @ VINOD CHAUHAN
  LET r be velocity of ram and s be the velocity of Sakil
  then
  (2000/r)=(1800/s)-60......(1)
  second case
  distance Sakil travel in 6 min=360s
  again equating time for both
  1000/r=(2000-360s)/s.......(2)
  solving (1) &(2) we get s = 20/6
  putting value in first we get time = 480sec = 8min
  similarly put for 2nd and we will get 10 min.
  Understand this time?
• 9 years agoHelpfull: Yes(3) No(2)
• ans. 8 min.
  Assume that the ratio of speeds of ram and shakil be constant.let the speed of rahul and shakil be a & b m/min. respectively.
  then
  a/c to question,
  a/b=2000/(1800-1*b)=1000/(2000-6b)
  solving we get,
  b=200 m/min,a=250m/min.
  then time taken by ram to run a race of 2000m =2000/250=8 min.
• 9 years agoHelpfull: Yes(3) No(0)
• why are u taking 1000/r in second equation..
• 9 years agoHelpfull: Yes(2) No(0)
• 1------. Ram gives shakil a head start of 200m and beat him by 1 min.
  So Ram speed is 200m is 60sec.(1 min)
  2------. Shakil beats Ram by 1000m in 6 mins
  i.e when ram covers 1000m then shakil covers 2000m by 6 mins.
  so Shakil speed is 1000/6min =500/3
  So ram speed is 2000/200=10 min.
  and shakil speed is 2000/(500/3)=12min
  ans is 10min,12min
• 9 years agoHelpfull: Yes(1) No(6)
• ans is 8,10 bt i dnt knw the explanation @puja
• 9 years agoHelpfull: Yes(1) No(0)
• there is a problem with this question. in the second round Shakil will beat Ram by 1000m. if you now solve the question , the answer would be :
  Shakil = 10 min
  Ram = 8 min
• 8 years agoHelpfull: Yes(1) No(0)
• @surit Datta
  how can u divide 2000/200 as this is speed of Ram in 1 min???
• 9 years agoHelpfull: Yes(0) No(2)
• Gowri What is the ans ?????
• 9 years agoHelpfull: Yes(0) No(1)
• I CANT UNDERSTAND????
  
• 9 years agoHelpfull: Yes(0) No(0)
• LET r be velocity of ram and s be the velocity of Shakil
  then
  (2000/r)=(1800/s)-60......(1)
  second case
  distance Shakil travel in 6 min=360s
  again equating time for both
  1000/r=(2000-360s)/s.......(2)
  solving (1) &(2) we get s=20/6
  putting value in first we get time =480sec=8m
• 9 years agoHelpfull: Yes(0) No(0)