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Answer:
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