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, distances are in the ratio of the speeds, 4 : 5. So while A runs 320 m, B runs
\( \displaystyle 320 \times \frac{5}{4} = 400 \text{ m} \)
When A reaches the finishing line, B is still
\( 500 - 400 = 100 \text{ m} \)
short of it. So A wins by 100 m.