How Do You Calculate Trip Duration and Distance with Stops and Average Speed?

[aquapod17]

Homework Statement

A person takes a trip, driving with a constant speed of 90.5 km/h except for a 22.0 min rest stop. If the person's average speed is 73.4 km/h, how much time is spent on the trip and how far does the person travel?

Homework Equations

v = d/t

The Attempt at a Solution

I have no idea how to solve this, other than that I have to plug the values into the average speed formula.

 

[LowlyPion]

Homework Statement

A person takes a trip, driving with a constant speed of 90.5 km/h except for a 22.0 min rest stop. If the person's average speed is 73.4 km/h, how much time is spent on the trip and how far does the person travel?

Homework Equations

v = d/t

The Attempt at a Solution

I have no idea how to solve this, other than that I have to plug the values into the average speed formula.

From your equation you know that d = V*t

If you hadn't stopped you know that 90.5*t is the distance
But you did stop 22 minutes (which is 22/60 hours) so to do the same distance it was 73.4*(t+22/60)

Since the distance is the same then 90*t =73.4*(t+22/60)

I'm sure you get the idea from here.

 

[baba89]

I would approach this problem by first understanding the given information and identifying the key variables involved. In this case, we are given the speed (v) of 90.5 km/h, the rest stop time (22.0 min), and the average speed (73.4 km/h). The distance (d) traveled is also unknown.

To solve for the distance, we can use the formula v = d/t, where v is the average speed and t is the total time. We can rearrange this equation to solve for d, giving us d = v*t. We know that the average speed is 73.4 km/h, so we can substitute that into the equation. However, we need to convert the rest stop time of 22.0 min into hours, which is 0.367 hours. Plugging in the values, we get:

d = (73.4 km/h)*(t + 0.367 h)

Now, we also know that the total time is equal to the time spent driving (t) plus the rest stop time (0.367 h), so we can substitute that in as well:

d = (73.4 km/h)*(t + 0.367 h) = (90.5 km/h)*(t)

We can now solve for t by setting the two equations equal to each other:

(73.4 km/h)*(t + 0.367 h) = (90.5 km/h)*(t)

Solving for t, we get t = 1.5 hours. This is the time spent driving. To find the total time of the trip, we need to add the rest stop time of 0.367 hours, giving us a total time of 1.867 hours.

To find the distance traveled, we can plug in the value of t into either of the equations we set equal to each other. Using the equation d = (90.5 km/h)*(t), we get d = (90.5 km/h)*(1.5 h) = 135.75 km. Therefore, the person traveled 135.75 km on their trip.

In conclusion, the person spent 1.867 hours on their trip and traveled a distance of 135.75 km. By understanding the relationship between speed, time, and distance and using the appropriate equations, we were able to solve for the unknown variables and answer the given questions.