Question

Lisa is riding a bike while Bill is riding his skateboard, both at constant speeds. Lisa's distance traveled with respect to time is represented by the equation d= 7t, where d is the distance in meters and t is the time in seconds. Bill's distance traveled with respect to time is shown in the graph. Who travels faster?

a) Lisa
b) Bill
c) all the above
d) none

Answer 1

Lisa travels faster than Bill. Option (a) is true.

Explanation:

From the given equation, we can see that Lisa's speed is 7 m/s, which is constant.

Bill's speed, on the other hand, varies throughout his journey.

We can estimate his average speed by calculating the slope of the line on the graph.

Here's the calculation:

speed_bill = (d_bill[-1] - d_bill[0]) / (t_bill[-1] - t_bill[0])

= (20 m - 2 m) / (10 s - 1 s)

= 18 m / 9 s

= 2 m/s

Since 7 m/s > 2 m/s, we can conclude that Lisa travels faster than Bill.

Thus, Option (a) is true.