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Two children Raju and Alok start to walk from points A and B respectively, 42 km apart. Raju walks from A to B at 4 km/hr and Alok walks from B to A at a certain uniform speed. They meet each other after 6 hours. The speed at which Alok walks is ____km/hr.

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Detailed Solution

Two children Raju and Alok start to walk from points A and B respectively, 42 km apart. Raju walks from A to B at 4 km/hr and Alok walks from B to A at a certain uniform speed. They meet each other after 6 hours. The speed at which Alok walks is 3 km/hr.
Let the speed of Raju and Alok be x and y respectively.
They walk at a distance d which is equal to 42 km.
Now, the time they meet each other:

⇒ t = d x + y ⇒ 6 = 42 x + y ⇒ x + y = 7

We know

x = 4

, therefore,

⇒ x + y = 7 ⇒ y = 7 − x ⇒ y = 7 − 4 ⇒ y = 3 k m / h r

So, the speed of Alok is 3 km/hr.

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