In a 1500 m race, Anil beats Bakul by 150 m and in the same race Bakul beats Charles by 75 m. By what distance does Anil beat Charles?

Solution (By Examveda Team)

\[\begin{array}{*{20}{c}} {}&{{\text{Anil}}}&{}&{{\text{Bakul}}} \\ {{\text{Distance}} \to }&{1500}&{}&{1350} \\ {}&{10}&:&9 \\ {}&{{\text{Bakul}}}&{}&{{\text{Charles}}} \\ {{\text{Distance}} \to }&{1500}&{}&{1425} \\ {}&{60}&:&{57} \end{array}\]

Anil beats Charles by
$$\eqalign{ & = \frac{{87}}{{600}} \times 1500 \cr & = \frac{{435}}{2} \cr & = 217.50{\text{ m}} \cr} $$