Question

The distance between two particles is decreasing at the rate of 6 m/s. If these particles travel with same speeds and in the same direction, then the separation increase at the rate of 4 m/s. The particles have speeds as

Answer 1

Let speed of particle A & B is x & y.

x + y = 6
x - y= 4
-------------
2x = 10

X=5 m/s.

Y = 1 m/s.

Answer 2

Answer:

Speed of particle A=5 m/s

Speed of particle B=1 m/s

Step-by-step explanation:

We are given that two particles moving withe two different speeds

Let particle A moving with speed =x m/s

Particle B moving with speed =y m/s

According to question

x+y= 6

x-y=4

Adding two equation we get

$2x=10$

$x=\frac{10}{2}=5$

Substitute the value of x in equation one

Then we get $5+y=6$

y=6-5=1

Speed of particle A=5 m/s

Speed of particle B=1 m/s