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 1
The correct answer is Option (1) → 100 m
With a start of 180 m, A has to run only
\(500 - 180 = 320 \text{ m}\)
In the same time, the distances run are in the ratio of the speeds, 4 : 5. So while A runs 320 m, B runs
\( \displaystyle \frac{5}{4} \times 320 = 400 \text{ m} \)
When A reaches the finish, B is still \(500 - 400 = 100\) m short of it. So A wins by 100 m.