In a kilometer race B can give C a 100 meters and A 150 meters start. How many meters start can C give A?
The Usual Method
When B gives C a 100 meters start in kilometer race, B travels 1000 meters and C 900 meters. Also when B travels 1000 meters, A will travel 850 meters. Thus we can write as follows:
A B C
850 1000 900
Thus when C travels 1000 meters, A will travel ‘x’ meters.
Hence C can give A an start of 1000 – = meters
Estimated Time to arrive at the answer = 45 seconds.
Note that when B travels 1000 meters, C travels 900 meters and A 850 meters. Thus when C travels 900 meters, A travels 850 meters. Thus in a 900 meters race C can give a lead of a little over 50 meters to A. Hence answer has to be closer to 50 meters but more than that. From the options, only option ‘3’ is closest to 50 and more than that (500/9 > 50).
Estimated Time to arrive at the answer = 5 seconds.