'A' can run 1 km in 5 minutes 20 seconds and 'B' can run the same distance in 6 minutes. How many meters start can 'A' give 'B' in a kilometer race so that they finish the race together?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 111.1 meter
A runs 1 km in 5 min 20 s = 320 s, and B takes 360 s. To finish together, B starts ahead and runs only the distance he covers in A’s time of 320 s.
\( \displaystyle \text{B's speed} = \frac{1000}{360} \text{ m/s} \)
\( \displaystyle \text{Distance B runs in 320 s} = \frac{1000}{360} \times 320 = 888.9 \text{ m} \)
\( \text{Start} = 1000 - 888.9 = 111.1 \text{ m} \)