Question

The Kentucky Derby distance is 20 furlongs. How far is the Kentucky Derby in​ rods and fathoms?

Answer 1

The distance is equivalent to 800 rods and 2200 fathoms.

Explanation:

Given:

The distance of the Kentucky Derby in furlongs is 20 furlongs.

Now, in order to convert the distance in rods and fathoms, we use the conversion factor for each.

We know that,

1 furlong = 40 rods.

Therefore, the conversion factor is
`(40\ rods)/(1\ furlong)`

So, 20 furlongs is equivalent to rods =
`20\ furlongs* (40\ rods)/(1\ furlong)=800\ rods`

Therefore, 20 furlongs is equivalent to 800 rods.

Now, we also know that,

1 furlong = 110 fathoms

So, the conversion factor is
`(110\ fathoms)/(1\ furlong)`

So, 20 furlongs is equivalent to rods =
`20\ furlongs* (110\ fathoms)/(1\ furlong)=2200\ fathoms`

Therefore, 20 furlongs is equivalent to 2200 fathoms.