In a 1000 m race, when Sumit is given a head start of 20 seconds and 200 metres, he runs for 2 minutes and beats Amit by 400 metres. Who wins the race and by how much, if Amit gets a head start of 200 metres?
1) Sumit, 91 m
2) Amit, 91 m
3) Sumit, 111 m
4) Amit, 111 m.

• Speed of sumit=800/120 =20/3 m/sec
  amit covers 600m and he started 20min aftr sumit,
  Time taken by Amit to travel 600 m= 2 min – 20 sec = 100 sec
  Speed of Amit=600/100=6 m/s
  Now, Amit is given a head start of 200 metres.
  Time taken by Amit to finish 800m= 800/6 sec
  Distance travelled by sumit during the same period=20/3 * 800/6= 889 m
  Amit wins the race by 1000 – 889 = 111 meters
  answr: 4
• 9 years agoHelpfull: Yes(0) No(0)