In a kilometer race, A beats B by 50 meters or by 5 seconds, then the time taken by A to complete the race is

95 seconds

The correct answer is Option (3) → 95 seconds **

Distance of race = 1000 m

A beats B by 50 m → when A finishes 1000 m, B has run 950 m.

Given: This 50 m lead = 5 seconds.

B’s speed = $\frac{50}{5}=10$ m/s

Time taken by B for 950 m = $\frac{950}{10}=95$ s

But in this same 95 s, A covers 1000 m.

A’s speed = $\frac{1000}{95}$

Time taken by A for the full race = $\frac{1000}{1000/95}=95$ s

Time taken by A = 95 seconds