In a race of 1000 meters, A can beat B by 100 meters, in a race of 800 meters, B can beat C by 100 meters. By how many meters will A beat C in a race of 600 meters?
Choose the correct choice from the following:
A) 125.5 meters
B) 126.5 meters
C) 127.5 meters
D) 128.5 meters
E) None of these
Explanation:   When A runs 1000 meters, B runs 900 meters and when B runs 800 meters, C runs 700 meters.   Therefore, when B runs 900 meters, the distance that C runs = (900 x 700)/800 = 6300/8= 
<gadget id="calculator">6300/8</gadget>
<output>1_575/2 = around 787.5</output>
787.5 meters.   So, in a race of 1000 meters, A beats C by   (1000 - 787.5)= 
<gadget id="calculator">  (1000 - 787.5)</gadget>
<output>212.5</output>
212.5 meters to C.   So, in a race of 600 meters, the number of meters by Which A beats C= (600 x 212.5)/1000 = 127.5 meters.   Answer: 127.5 meters
<result>C</result>
In a race of 1000 meters, A can beat B by 100 meters, in a race of 800 meters, B can beat C by 100 meters. By how many meters will A beat C in a race of 600 meters?