A bus travels the 100 miles between A and B at 50 mi/h and then another 100 miles between B and C at 70 mi/h. The average speed of the bus for the entire 200-mile trip is:

Step-by-step explanation:

The average speed is defined as the total distance traveled divided by the total time taken.

from A to B

distance= 100 miles

speed= 50 mi/h

speed= distance/time

time= distance/speed

time= 100/50

time= 2 hours

from B to C

distance= 100 miles

speed= 70 mi/h

speed= distance/time

time= distance/speed

time= 100/70

time= 10/7 hours

Average speed= total distance/total time

total distance= 200 mile

total time= 2+10/7= (14+10)/7= 24/7

Average speed= 200/24/7

Average speed= 200*7/24

Average speed= 1400/24

Average speed= 58.3 mi/hour

just needed some points but try socratic

yes. we do proportions in probabilities.