Two cars were 539 miles apart and started traveling towards each other on the same road at the same time. One car is going at 37 miles per hour, the other is going at 61 miles per hour. How long did it take for the two cars to pass each other?

Answer 1

The time is #5 1/2# hours.

In addition to the provided speeds, there are two other, less evident pieces of information.

#rArr#The sum of the two distances travelled by the cars is 539 miles. #rArr# The time taken by the cars is the same.
Let #t# be the time taken by the cars to pass each other.
Write an expression for the distance travelled in terms of #t#.

Distance is equal to speed times time.

#d_1 = 37 xx t# and #d_2 = 61 xx t#
#d_1 + d_2 = 539#
So, #37t + 61t = 539#
#98t = 539#
#t = 5.5#
The time is #5 1/2# hours.
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Answer 2

To find the time it takes for the two cars to pass each other, use the formula: time = distance / relative speed. The relative speed of the two cars is the sum of their speeds. Distance = 539 miles. Speed of first car = 37 mph. Speed of second car = 61 mph. Therefore, relative speed = 37 mph + 61 mph = 98 mph. Time = 539 miles / 98 mph ≈ 5.5 hours. So, it takes approximately 5.5 hours for the two cars to pass each other.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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