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
“A beats B by 50 metres or by 5 seconds” means that B needs 5 more seconds to run the last 50 m after A finishes. So
\( \displaystyle \text{Speed of B} = \frac{50}{5} = 10 \text{ m/s} \)
\( \displaystyle \text{Time of B for 1000 m} = \frac{1000}{10} = 100 \text{ s} \)
A finishes 5 seconds before B:
\(\text{Time of A} = 100 - 5 = 95 \text{ s}\)