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?

Answer: Option A

Solution

Answer: Option A

Solution:

\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
$$\begin{array}{rl}& =\frac{87}{600}\times 1500\\ & =\frac{435}{2}\\ & =217.50\text{ m}\end{array}$$