A's speed is 1 3⁄ 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?

Q: A's speed is 1 3⁄ 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?

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.

700 m
900 m
800 m
850 m

Correct Answer: 900 m

Explanation:

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.

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