Question

In a racing over a given distance 'd' at uniform speed, A can beat B by 30 metres, B can beat C by 20 metres and A can beat C by 48 metres. Find 'd' in metres.

Options:
1) 300 2) 350 3) 450 4) 400

Answer 1

the total distance (d)
Let A position is at destination
Then B position from A = 30 metres ( from destination)
C position from A = 48 metres ( from destination)
But C position w. r. t B = 20 metres (given)

Which contradicts means their is difference of 2 metres.
From 30 metres before destination
B has to cover 2 metres in every 30 metres.
To make it equal to 20 metres as given
2 x 10 = 20 metres
Therefore, 30 x 10 = 300 metres