In a 600 m race, the ratio of speeds of two participants A and B is 3:4. If A has a start of 270 m, then the distance by which A wins is:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 160 m
With a start of 270 m, A has to run only 600 − 270 = 330 m. In the same time B covers distance in the ratio 4 : 3:
\( \displaystyle \text{Distance run by B}=330\times\frac{4}{3}=440\ \text{m} \)
When A reaches the finish, B is still 600 − 440 = 160 m from it. So A wins by 160 m.