A’s speed is 13⁄8 times of B’s. In a race A gives

Home » Aptitude » Races and games » Question

A’s speed is 1³⁄₈ times of B’s. In a race A gives B a start of 300 m. How long should the race course be so that both reach the winning post simultaneously?

1. 700 m
2. 900 m
3. 800 m
4. 850 m

Correct Option: B

A’s speed : B’s speed = 1¹⁄₂ : 1
= ³⁄₂ : 1
= 3 : 2
It means that in a race of 3 m, A gains (3 - 2).
= 1 m over B. 1 m is gained by A in a race of 3 m.
∴ 300 m is gained by A in a race of = ³⁄₁ × 300 = 900 m.