Question

How long does it take to ride a bicycle 100 miles at each of the following speeds: 5 mph, 10 mph, 15 mph, 20 mph, 25 mpb? What is always true about the product speed x time?

Answer 1

The times associated with each speed are:

1. 20 h
2. 10 h
3. 6.667 h
4. 5 h
5. 4 h

It is always true that the speed is inversely proportional to time.

How to analyze the motion of a bicycle at constant speed

In this case we find the situation of bicycle moving at constant speed, where the traveled distance (s), in miles, is equal to the following expression:

s = v · t           (1)

Where:

• v - Speed, in miles per hour.
• t - Time, in hour

Now we proceed to calculate time needed for each speed:

t = s / v

Case 1

t = 100 mi / 5 mi / h

t = 20 h

Case 2

t = 100 mi / 10 mi / h

t = 10 h

Case 3

t = 100 mi / 15 mi / h

t = 6.667 h

Case 4

t = 100 mi / 20 mi / h

t = 5 h

Case 5

t = 100 mi / 25 mi / h

t = 4 h

According to the model for rectilinear uniform motion, the speed is inversely proportional to time.

To learn more on inverse variation: https://brainly.com/question/4838941

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