Question

Two persons Ram and Lakhan start their journey
from two different places towards each other's
place. After crossing each other, they complete
their journey in 1 and 4 hours respectively. Find
speed of Lakhan if speed of ram is 20 km/hr.​

Answer 1

Lakhan’s Speed is 10 km per hr when Ram's speed is 20 km per hr their separate journeys in one and four hours.

Given that,

Two people Ram and Lakhan set out on their respective journeys to the other's location from two separate starting points. They cross each other and finish their separate journeys in one and four hours, respectively.

We have to find Lakhan's speed if Ram's speed is 20 km per hr.​

We know that,

If two people A and B begin their trip equally from two points P and Q and cross each other halfway, it will take them a and b hours to arrive at P and Q, respectively, then

$\frac{A' speed }{B' speed } = \frac{\sqrt{b}}{\sqrt{a}}$

Let us say A = Ram and B = Lakhan

a=1 and b=4, then

$\frac{20}{B } = \frac{\sqrt{4}}{\sqrt{1}}$

$\frac{20}{B } = \frac{2}{1}$

2B = 20

B = 10

Therefore, Lakhan’s Speed is 10 km per hr.

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