In a 600 m race, the ratio of the speeds of two participants A and B is 4 : 5. If A has a head start of 200 m, then the distance by which A wins is:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 100 m
With a head start of 200 m, A has to run only 600 − 200 = 400 m.
In the same time, the distances covered are in the ratio of the speeds, 4 : 5. While A runs 400 m, B runs
\( \displaystyle 400\times\frac{5}{4} = 500 \text{ m} \)
So when A finishes, B is still 600 − 500 = 100 m short of the finish. A wins by 100 m.