A bus travels 300 km south along a straight path with an average velocity of 85 km/h to the south. The bus stops for 22 minutes. Then it travels 220 km south with an average velocity of 78 km/h to the south. How long does the total trip last? What is the average velocity for the total trip?

a) Answer;

= 6.72 hours

Explanation and solution;

velocity = distance over time

Since we know the velocity and the distance, we can simply calculate time

For the first part

85 km/h = 300km / time

time = 3.53 hours

Then there is a 22 min stop, which is the same as 0.37 hours

so far the trip is:

3.53 + 0.37 = 3.9 hours

then for the last stretch:

78 km/h = 220 km / time

time = 2.82 hours

So the total trip is:

3.9 + 2.82 = 6.72 hours

b) Answer;

= 77.38 km/hr

Explanation and solution;

we take the total distance divided by the total time to get the average.

total distance = 300 km + 220 km = 520 km

total time = 6.72 hours

Average velocity = 520 km / 6.72 hours = 77.38 km/hr