In a 500 m race, the ratio of speeds of two participants A and B is 4 : 5 respectively. If A has a start of 180 m, then the distance by which A wins is :
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 100 m
With a start of 180 m, A has to run only
\(500 - 180 = 320 \text{ m}\)
In the same time, distances are in the ratio of the speeds, 4 : 5. While A runs 320 m, B runs
\( \displaystyle 320 \times \frac{5}{4} = 400 \text{ m} \)
When A finishes, B still has
\(500 - 400 = 100 \text{ m}\)
to run, so A wins by 100 m.