Let’s draw the diagram for a better understanding
DIAGRAM 1
When Braves completes $1 \text{mile} = 1600 \; m$ at that time Akshay can completes $= 1600 – 128 = 1472 \; m.$
Now, We can write like this,
- $B \longrightarrow 1600 \; m$
- $B \longrightarrow 100 \; m$
- $A \longrightarrow 1472 \; m$
- $A \longrightarrow 92 \; m$
DIAGRAM 2
- $B \longrightarrow 100 \; m$
- $C \longrightarrow 96 \; m$
We can conclude that,
- $A \longrightarrow 92 \; m$
- $B \longrightarrow 100 \; m$
- $C \longrightarrow 96 \; m$
If Akshay and Chinmey are participating in the race, chimney should be the winner.
DIAGRAM 3
- $C \longrightarrow 96 \; m \times 25$
- $A \longrightarrow 92 \; m \times 25$
- $C \longrightarrow 2400 \; m$
- $A \longrightarrow 2300 \; m$
$\therefore$ The final lead given by the winner to the loser $= 100 \; m = \frac{100 \; m}{1600 \; m} = \frac{1}{16} \text{mile}.$
Correct Answer $: \text{D}$