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:
Answer & explanation
Correct answer: option 2
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