Question

In a race of 600m a can beat b by 50m and in race of 500m b can beat c by 60m by how many metres a beat c in a race of 400m

Answer 1

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When X runs 600m, Y would run (600-60) = 540m 
and When X runs 400 m, Y runs (540/600)×400 = 360m

When Y runs 500 m, Z runs (500-50)= 450m
and When Y runs 360 m, Z runs (450/500)×360 = 324m

i.e., When X runs 400 metre, Y runs 360 metre and Z runs 324 metre.
Hence, X beats Z by (400-324)=76 metre in a race of 400 m.

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