Question

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

• A. $300$
• B. $350$
• C. $450$
• D. $400$

Answer 1

The correct option is A $300$

The total distance (d)

Let A position is at destination

Then B position from A = 30 meters ( from destination)

C position from A = 48 meters ( from destination)

But C position w. r. t B = 20 meters (given)

Which contradicts means their is difference of 2 meters.

From 30 meters before destination B has to cover 2 meters in every 30 meters.

To make it equal to 20 meters as given 2 x 10 = 20 meters

Therefore, 30 x 10 = 300 meters