Question

In a race of 600 meters a can beat b by 50 meters and in race of 500 meters b beat c by 25 meters .by how many meters will a beat in a 400meters race.

Answer 1

Let's assume A finishes the 600 m race in 60 sec, then
600/60 = 10 m/sec is his speed
B traveled (600-60 = 540 m in 60 sec, therefore
540/50 = 10.8 m/sec is B's speed
:
"in a race of 500 meters, B can beat C by 25 meters."
500/10.8 = 46.3 sec is B's time to finish a 500 m race
C traveled 500-25 = 475 m in 46.3 sec, therefore
475/46.3 = 10.26 m/sec is C's speed
:
By how many will A beat C in a race of 400 meters?
400/10 = 40 sec for A to run a 400 m race
C will travel 10.26 *40 = 410.4 m in 40 sec
therefore
C will be 400-410.4 = 10.4 m behind when A crosses the finish line