Problem

Two cars drive from one spotlight to the next, leaving at the same time and arriving at the same time. Is there ever a time when they are going at the same speed?

Select one:
a. Yes.
b. Cannot be determined.
c. No.

Answer

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Answer

Therefore, the answer to the question is: \(\boxed{c. No}\)

Steps

Step 1 :Assume Car A is driving at a constant speed of 60 mph and Car B is driving at a constant speed of 70 mph.

Step 2 :Calculate the time it takes for Car A to reach the next spotlight using the formula: Time = Distance / Speed

Step 3 :For Car A: Time taken = 120 miles / 60 mph = 2 hours

Step 4 :Calculate the time it takes for Car B to reach the next spotlight using the same formula.

Step 5 :For Car B: Time taken = 120 miles / 70 mph ≈ 1.714 hours (rounded to 3 decimal places)

Step 6 :Compare the time taken for Car A and Car B.

Step 7 :Since the time taken for Car A is 2 hours and the time taken for Car B is approximately 1.714 hours, we can conclude that at any given point in time, the two cars are not traveling at the same speed.

Step 8 :Therefore, the answer to the question is: \(\boxed{c. No}\)

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