In a 1000 m race, A beats B by 50 meters or 10 seconds. The time taken by A to complete the race is:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 190 seconds
“A beats B by 50 m or 10 seconds” means that when A finishes, B still has 50 m to run, and B needs 10 seconds to cover those 50 m. So B’s speed is
\( \displaystyle \frac{50}{10} = 5 \text{ m/s} \)
\( \displaystyle \text{B's time for 1000 m} = \frac{1000}{5} = 200 \text{ seconds} \)
A finishes 10 seconds before B:
\(\text{A's time} = 200 - 10 = 190 \text{ seconds}\)