In a kilometer race P runs at 10 m/sec, Q runs at 5 m/sec then which of the following statement(s) is/ are correct?

(A) P wins the race in 100 sec

(B) Q wins the race in 100 sec

(C) P defeats Q by 500 m

(D) Q defeats P by 500 m

Choose the correct answer from the options given below:

(A) and (C) only

The correct answer is Option (2) → (A) and (C) only **

Distance = 1000 m

P’s speed = 10 m/s → time = $\frac{1000}{10} = 100$ sec

Q’s speed = 5 m/s → time = $\frac{1000}{5} = 200$ sec

P finishes first, so:

When P finishes in 100 sec, Q covers:

$5 \times 100 = 500$ m

P is ahead of Q by $1000 - 500 = 500$ m

Correct statements:

(A) P wins the race in 100 sec

(C) P defeats Q by 500 m