A bus travels 270 km south along a straight
path with an average velocity of 89 km/h to
the south. The bus stops for 25 min, then it
travels 250 km south with an average velocity
of 68 km/h to the south.
How long does the total trip last?
Answer in units of h
To calculate the total duration of the trip, we need to consider the time taken for both the first and second leg of the journey and also account for the time spent during the bus stop.
1. Calculate the time taken for the first leg of the journey:
Given that the bus travels 270 km south with an average velocity of 89 km/h, we can use the formula:
Time = Distance / Velocity
Time1 = 270 km / 89 km/h
Time1 ≈ 3.03 hours
2. Calculate the time taken for the second leg of the journey:
The bus travels 250 km south with an average velocity of 68 km/h. Using the same formula:
Time2 = 250 km / 68 km/h
Time2 ≈ 3.68 hours
3. Calculate the time spent during the bus stop:
The bus stops for 25 minutes. To convert this to hours, we divide by 60 (since there are 60 minutes in an hour):
Time3 = 25 min / 60 min/h
Time3 ≈ 0.42 hours
4. Calculate the total duration of the trip:
The total time is the sum of the time taken for the first leg, the time taken for the second leg, and the time spent during the bus stop:
Total Time = Time1 + Time2 + Time3
Total Time ≈ 3.03 hours + 3.68 hours + 0.42 hours
Total Time ≈ 7.13 hours
Therefore, the total duration of the trip is approximately 7.13 hours.
To find the total trip duration, we need to calculate the time taken for each leg of the journey and then sum them up.
First, let's calculate the time taken for the first leg of the trip:
Distance traveled = 270 km
Average velocity = 89 km/h
Time taken for the first leg = Distance / Velocity
Time taken for the first leg = 270 km / 89 km/h
Next, let's calculate the time taken for the second leg of the trip:
Distance traveled = 250 km
Average velocity = 68 km/h
Time taken for the second leg = Distance / Velocity
Time taken for the second leg = 250 km / 68 km/h
Finally, let's calculate the total trip duration by adding the time taken for both legs and the time spent at the stop:
Total trip duration = Time taken for the first leg + Time taken for the second leg + Stop duration
Stop duration = 25 min = 25/60 hours (as there are 60 min in an hour)
Total trip duration = Time taken for the first leg + Time taken for the second leg + 25/60 hours
Now, we can substitute the values and calculate the total trip duration.