A man traveled to his country home, a distance of 150 miles and then back. His average rate of speed going was 50 miles an hour and his average return speed was 30 miles per hour. His average rate of speed for the entire trip was:

3 answers

avg speed=totaldistance/total time

total distance= 300 miles
total time= 150/50 + 150/30=3+8=11hrs

avg speed= 300/11= ...
If you divide this it will be 27.2727272.... That is below 30 and 50 miles per hour
First, calculate time:
150/50 = 3 hours going there
150/30 = 5 hours going back

Then use the formula:
speed = distance / time
s = 150+150 / 3+5
s = 300/8
s = 37.5

His average rate of speed was 37.5 miles per hour