A person takes a trip, driving with a constant speed of 94.0 km/h except for a 22.0 min rest stop. If the person's average speed is 60.1 km/h, how much time is spent on the trip and how far does the person travel?

To find the time spent on the trip and the distance traveled, we can use the formula:

Average speed = Total distance / Total time

We can start by finding the total distance traveled. Let's assume the time spent on the trip is t hours.

The person drives at a constant speed of 94.0 km/h for the majority of the trip, so the distance covered during that time is:

Distance = Speed × Time = 94.0 km/h × t = 94.0t km

During the rest stop, which lasts for 22.0 minutes, the person does not travel any distance, so the distance covered during the rest stop is 0 km.

The total distance traveled is the sum of the distance covered while driving and the distance covered during the rest stop:

Total distance = Distance while driving + Distance during rest stop
= 94.0t km + 0 km
= 94.0t km

Now, let's focus on the average speed. We are given that the average speed is 60.1 km/h. The average speed is the total distance divided by the total time:

Average speed = Total distance / Total time

Substituting the values we have:

60.1 km/h = (94.0t km + 0 km) / Total time

Simplifying further, we have:

60.1 km/h = 94.0t km / Total time

To find the total time, we rearrange the formula:

Total time = (94.0t km) / 60.1 km/h

Now we have the equation to find the total time in hours. To find the value of t, we can solve this equation. Rearrange the equation to solve for t:

t = (Total time × 60.1 km/h) / 94.0 km

Plug in the values given:

t = (Total time × 60.1) / 94.0

Since we are given that t is in hours and the rest stop time is given in minutes, we need to convert the rest stop time to hours:

Rest stop time = 22.0 min × (1 hour / 60 min) = 22.0/60 hours = 0.367 hours

Now we can sum up the total time:

Total time = t + Rest stop time
= t + 0.367 hours

Finally, to find the time spent on the trip, we substitute the total time back into the equation:

Time spent on the trip = Total time
= t + 0.367 hours

To find the distance traveled, we use the equation we derived earlier:

Distance = Speed × Time
= 94.0 km/h × t

Now you can use these equations to calculate the time spent on the trip and the distance traveled based on the given information.