In a 700 m race, the ratio of speeds of two participants A and B is 5 : 6. If A has a start of 150 m, then the distance by which A wins the race is:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 40 m
With a start of 150 m, A has to run only 700 − 150 = 550 m. In the same time, B runs \(\frac{6}{5}\) of A’s distance:
\( \displaystyle \text{Distance run by B} = 550 \times \frac{6}{5} = 660 \text{ m} \)
When A finishes, B is still 700 − 660 = 40 m short of the finish, so A wins by 40 m.