In a 600-metre race, runner Y starts 60 metres ahead of runner X. Both start at the same time and run at constant speeds. Runner X wins the race, and Y is still 30 metres behind when X finishes.
Consider the following statements:
Statement I: Runner Y covered 540 metres by the time runner X finished.
Statement II: The ratio of the speed of runner X to that of runner Y is 20:17.

Select the correct answer from below:
(a) Only Statement I is correct.
(b) Only Statement II is correct.
(c) Both Statements I and II are correct.
(d) None of the Statements is correct.

Question

In a 600-metre race, runner Y starts 60 metres ahead of runner X. Both start at the same time and run at constant speeds. Runner X wins the race, and Y is still 30 metres behind when X finishes.
Consider the following statements:
Statement I: Runner Y covered 540 metres by the time runner X finished.
Statement II: The ratio of the speed of runner X to that of runner Y is 20:17.

Select the correct answer from below:
(a) Only Statement I is correct.
(b) Only Statement II is correct.
(c) Both Statements I and II are correct.
(d) None of the Statements is correct.

ONLiNE UPSC · Accepted Answer

X covers 600 m, Y covers 510 (600 &ndash; 60 - 30) m in the same time.
Let speeds be Vx and Vy​:
600/Vx = 510/Vy
Vx/Vy = 600/510​ = 20/17
Statement I: Y covered 540 m &rarr; Incorrect, as Y covered only 510 m.
Statement II: Speed ratio X:Y = 20:17 &rarr; Correct

Hence, option b is correct.

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M Question 1	⏱ 0
In a 600-metre race, runner Y starts 60 metres ahead of runner X. Both start at the same time and run at constant speeds. Runner X wins the race, and Y is still 30 metres behind when X finishes. Consider the following statements: Statement I: Runner Y covered 540 metres by the time runner X finished. Statement II: The ratio of the speed of runner X to that of runner Y is 20:17. Select the correct answer from below: (a) Only Statement I is correct. (b) Only Statement II is correct. (c) Both Statements I and II are correct. (d) None of the Statements is correct.