starting from 1.4 miles away a car drives towards a speed check point and then passes it the car travels at a constant rate of 52 miles per hour the distance of the car from the check point is given by d=1.4-52t at what times is the car 0.6 miles from the check point

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RenatoMattice RenatoMattice · Answer 1 · 2018-11-02T05:59:54+01:00

Answer: At t=0.015 hours when the car 0.6 miles from the check point.

Step-by-step explanation:

Since we have given that

Distance traveled by him towards a speed check point = 1.4 miles

Speed at which he is travelling = 52 miles per hour

Let the time taken by him be x

Since we have the equation

[tex]d=1.4-52t[/tex]

where d denotes distance

and t denotes time.

If we have given that the car 0.6 miles from the check point.

So, we put the value of d in place of it .

[tex]0.6=1.4-52t\\\\0.6-1.4=-52t\\\\-0.8=-52t\\\\0.8=52t\\\\\frac{0.8}{52}=t\\\\0.015=t[/tex]

So, at t=0.015 hours when the car 0.6 miles from the check point.