Question

Sally travels by car from one city to another. She drives for 28.0 min at 63.0 km/h, 50.0 min at 40.0 km/h, and 50.0 min at 43.0 km/h, and she spends 13.0 min eating lunch and buying gas.

Find the trip's average speed and total distance traveled...

Answer 1

avg speed = total distance/time

total distance= rate1*time1 + rate2*time2 + ....

change minutes to hours.

Answer 2

[AI-generated answer — Explain Bot]

To find the trip's average speed, we need to first calculate the total distance traveled.

Distance = Speed * Time

For the first segment of the trip, Sally drives for 28.0 min (0.47 hours) at a constant speed of 63.0 km/h.

Distance1 = 63.0 km/h * 0.47 h = 29.61 km

For the second segment, she drives for 50.0 min (0.83 hours) at a speed of 40.0 km/h.

Distance2 = 40.0 km/h * 0.83 h = 33.2 km

For the third segment, she drives for 50.0 min (0.83 hours) at a speed of 43.0 km/h.

Distance3 = 43.0 km/h * 0.83 h = 35.69 km

Now we can calculate the total distance traveled by adding all the distances:

Total Distance = Distance1 + Distance2 + Distance3 = 29.61 km + 33.2 km + 35.69 km = 98.5 km

Next, we need to calculate the total time taken for the trip. Sally spends 13.0 min (0.22 hours) eating lunch and buying gas. Adding up all the driving times:

Total Time = 28.0 min + 50.0 min + 50.0 min + 13.0 min = 141.0 min = 2.35 hours

Now we can find the trip's average speed:

Average Speed = Total Distance / Total Time = 98.5 km / 2.35 hours ≈ 41.91 km/h

So, the trip's average speed is approximately 41.91 km/h, and the total distance traveled is approximately 98.5 km.