A Running Race

        Rajiv, Sanjiv and Vijay join a running race. The distance is 1500 metres. Rajiv beats Sanjiv by 30 metres and Vijay by 100 metres. By how much could Sanjiv beat Vijay over the full distance if they both ran as before?

Answer: 

71.4 Metres: Sanjiv runs 1470 metres while Vijay runs 1400 metres.

At the same rate Sanjiv runs 1500 metres whilst Vijay runs

1500 x 1400 / 1470 Meters

Or   1428.6 metres

Hence Sanjiv ought to beat Vijay by 71.4 metres.