SCALCET8 3.9.017.MI. Two cars start moving from the same point. One travels south at 48 mi/h and the other travels west at 20 mi/h. At what rate is the distance between the cars increasing two hours later

The rate at which the distance between the cars increasing two hours later=52mi/h

Step-by-step explanation:

Let

Speed of one car, x'=48 mi/h

Speed of other car, y'=20 mi/h

We have to find the rate at which the distance between the cars increasing two hours later.

After 2 hours,

Distance traveled by one car

Using the formula

Distance traveled by other car

Let z be the distance between two cars after 2 hours later

Substitute the values

z=104 mi

Now,

Differentiate w.r.t t

Substitute the values

Hence, the rate at which the distance between the cars increasing two hours later=52mi/h