In a race of 1000 metres, X gives Y a start of 175 m and defeats him by 50 seconds. If speed of X is 5 m/s, then the speed of Y is
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 3.3 m/s
X runs the full 1000 m:
\( \displaystyle \text{Time of X}=\frac{1000}{5}=200\ \text{s} \)
With a start of 175 m, Y runs only 1000 − 175 = 825 m. X wins by 50 seconds, so Y takes 50 s more:
\( \displaystyle \text{Time of Y}=200+50=250\ \text{s} \)
\( \displaystyle \text{Speed of Y}=\frac{825}{250}=3.3\ \text{m/s} \)