Two twins are running away from their mother in opposite directions one with the speed of 10 feet per second and the other with the speed of 8 feet per second. How and with what speed does the distance between the twins change?

Respuesta :

with speed of 18 feet per second the distance between the twins change.

Step-by-step explanation:

Here we have , Two twins are running away from their mother in opposite directions one with the speed of 10 feet per second and the other with the speed of 8 feet per second. We need to find How and with what speed does the distance between the twins change. Let's find out:

Two twins are running in opposite directions , Let us suppose one twin speed is denoted by [tex]v_1[/tex] , i.e. 10 feet per second

⇒ [tex]v_1=10[/tex]

Now , Speed of other twin is [tex]v_2[/tex] , i.e. -8 feet per second . Minus sign shows the direction as this twin is moving in opposite direction :

⇒ [tex]v_2=-8[/tex]

Now, Difference in both speeds will give the change in speed between them :

⇒ [tex]v_1-v_2=10-(-8)[/tex]

⇒ [tex]v_1-v_2=18[/tex]

Therefore , with speed of 18 feet per second the distance between the twins change.