In a 10 km race. Sushant, Rajkumar, and Suraj, each running at uniform speed, get the gold, silver, and bronze medals, respectively. If Sushant beats Rajkumar by 1 km and Rajkumar beats Suraj by 1 km, then by how many metres does Sushant beat Suraj?
OPtion
1) 1.5 km
2) 1.6 km
3) 1.8 km
4) 1.9 m
5) 2.0 km
6) 2.1 km
7) 1900 km
8) 1800 m
9) 1900 m
10) None of these
Solution
Sushant : Rajkumar = 10 : 9
Rajkumar : Suraj = 10 : 9
⇒ The ratio of speeds of Sushant : Rajkumar : Suraj = 100 : 90 : 81
In the same time that Sushant travels 100 m, Suraj travels 81 metres ⇒ In the same time that Sushant travels 10000 m, Suraj would travel 8100 m
or Sushant would beat Suraj by 1900 m.
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