A : B = 100 : 75
B : C = 100 : 96.
A : C = (A/B*B/C) = (100/75*100/96) = 100/72 =100:72
A beats C by (100 - 72) m = 28 m.
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 = 787.5 meters.
So, in a race of 1000 meters, A beats C by (1000 - 787.5) = 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.
A : B = 200 : 169.
A : C = 200 : 182.
C/B = (C/A*A/B) = (182/200*200/169) = 182:169
When C covers 182 m, B covers 169 m.
When C covers 350 m, B covers (169/180*350)m = 325 m
Therefore, C beats B by (350 - 325) m = 25 m.
A runs 1000 meters while B runs 900 meters and C runs 800 meters.
Therefore, B runs 900 meters while C runs 800 meters.
So, the number of meters that C runs when B runs 1000 meters = (1000 x 800)/900 = 8000/9 = 888.88 meters
Thus, B can give C (1000 - 888.88) = 111.12 meters start
B runs 45/2mts in 6 sec
B covers 300m in (6*2/45*300)sec =80 sec
A : B = 100 : 80.
A : C = 100 : 72.
B:C = B/A*A/C = 80/10*100/72 = 10/9 = 100/90 = 100:90
B can give C 10 points
A : B = 100 : 90.
A : C = 100 : 72.
B:C = B/A*A/C = 90/100*100/72 = 90/72
When B runs 90 m, C runs 72 m.
When B runs 100 m, C runs (72/90*100)m = 80m
B can give C 20 m.
B runs 35 m in 7 sec.
B covers 200 m in (7/35*200) = 40sec
B's time over the course = 40 sec.
A's time over the course (40 - 7) sec = 33 sec.
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