Respuesta :
Answer:
c. less than 60 mi/h
Explanation:
To calculate the average speed of the bus, we need to calculate the total distance traveled by the bus, as well as the total time of travel of the bus.
Total Distance Traveled = S = 100 mi + 100 mi
S = 200 mi
Now, for total time, we calculate the times for both speeds from A to b and then B to C, separately and add them.
Total Time = t = Time from A to B + Time from B to C
t = (100 mi)/(50 mi/h) + (100 mi)(70 mi/h)
t = 2 h + 1.43 h
t = 3.43 h
Now, the average speed of bus will be given as:
Average Speed = V = S/t
V = 200 mi/3.43 h
V = 58.33 mi/h
It is clear from this answer that the correct option is:
c. less than 60 mi/h
The average speed of the bus for the entire 200-mile trip is less than 60 mi/h (Option C)
How to determine the time from A to B
- Distance = 100 miles
- Speed = 50 mi/h
- Time =?
Time = Distance / speed
Time = 100 / 50
Time = 2 h
How to determine the time from B to C
- Distance = 100 miles
- Speed = 70 mi/h
- Time =?
Time = Distance / speed
Time = 100 / 70
Time = 1.43 h
How to determine the average speed
- Total distance = 200 miles
- Time from A to B = 2 h
- Time from B to C = 1.43 h
- Total time = 2 + 1.43 = 3.43 h
- Average speed =?
Average speed = Total distance / total time
Average speed = 200 / 3.43
Average speed = 58.31 mi/h
Thus, we can conclude that the average speed is less than 60 mi/h
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