Question

In a 100m race, a beat b by 10 m. b beats c by 5 m. by how many meters does a beat c?

Answer 1

A : B = 100 : 90.



A : C = 100 : 87.



B/C = (B/A*A/C) = (90/100*100/87) = 30/29



When B runs 30 m, C runs 29 m.



When B runs 180 m, C runs (29/30*180)m =174m



B beats C by (180 - 174) m = 6 m.