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
Answer & explanation
Correct answer: option 3
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