Question

In a race of 600m. A can beat B by 60mand in a race of 500m. B can beat C by 50m. By how many meterswill A beat C in a race of 400m?

Answer 1

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