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The distance between two places is 100 km. A and B start towards each other at the same time and meet each other after 4 hours. If A travelled with double of his speed while B travelled with 2/3th of his speed, they would have met after 3 hours 20 minutes. What is the speed of A?

The distance between two places is 100 km. A and B start towards each other at the same time and meet each other after 4 hours. If A travelled with double of his speed while B travelled with 2/3th of his speed, they would have met after 3 hours 20 minutes. What is the speed of A? Correct Answer 10 km/hr

Given:

The distance between two places is 100 km.

The meet after 4 hours.

Formula Used:

Distance = Speed × Time

Calculation:

Let the speed of A be x.

Let the speed of B be y.

According to the question:

⇒ 100/(x + y) = 4

⇒ x + y = 25

⇒ y = 25 - x

The new speed of A = 2x

The new speed of B = 2y/3

⇒ 100/(2x + 2y/3) = 10/3

⇒ 2x + 2y/3 = 30

⇒ 2x + 2(25 - x)/3 = 30

⇒ 6x + 50 - 2x = 90

⇒ 4x = 40

⇒ x = 10 km/hr

∴ The speed of A is 10 km/hr.

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