In a 1500 m race, X beats Y by 100 m, and X beats Z by 240 m. By what distance does Y beat Z in the same race?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 150 m.
Distance = 1500 m
X beats Y by 100 m
Distance covered by X = 1500 m but
⇒Distance covered by Y = 1500 - 100 = 1400 m and,
⇒Distance covered by Z = 1500 - 240 = 1260 m
By what distance does Y beat Z in the same race
It means Y has to travel 1500 m
⇒ 1400 × 1500/1400 = 1500
In the same way if Y traves 1500 m then,
Distance covered by Z = 1260 × 1500/1400 = 1350 m
Thus, Y beat Z by = 1500 - 1350 = 150 m.