Races and Games Practice Test 1 with solutions

Let the distance be = x metre
Distance run by A = x metre
Distance run by B = (x - 20) metres.
B can beat C by 10 metres
Distance run by C = (x - 10) metres
Distance run by A can beat by 28 metres
Distance run by C = (x - 28) metres
Distance run by B = x -20
Distance run by C = (

x×10

x

)×(x−20)
‘A’ can beat C by 28 metres
x−[

(x−10)(x−20)

x

] = 28
x2−x2 + 30x - 200 = 28x
30x - 200 = 28x
2x = 200
x = 100 metres