Question

In a race of 600 meters, Ajay beats Vijay by 60 metres and in a race of 500 meters, Vijay beats Anjay by 25 meters. By how many meters will Ajay beat Anjay in a 400-meter race?

• A. 48 m
• B. 52 m
• C. 56 m
• D. 58 m

Answer 1

The correct option is D 58 m

When Ajay does 600 metres, Vijay does 540 m
When Vijay does 500 metres, Anjay does 475 m
Thus, Ajay : Vijay : Anjay = 600 : 540 : 513
Thus, Ajay would beat Anjay by $(87\times \frac{2}{3})=58m$ in a 400 m race.