SOLUTION: A cyclist has travel 6 miles to reach his destination. he has to either choose to travel on flat route with 11 miles per hour. or he goes on uphill at 3 miles per hour for 3 miles

Question 1084960: A cyclist has travel 6 miles to reach his destination. he has to either choose to travel on flat route with 11 miles per hour. or he goes on uphill at 3 miles per hour for 3 miles and then downhill at 23 miles per hour for the remaining 3 miles. he chooses to go with the uphill and downhill because he
averages the uphill and downhill speeds and concludes that (23+3)/2=13 MPH.
What is wrong with?
a) 2 minutes is less significant when compared 13 MPH to 11 MPH
b) average speed can't be maintained through out the uphill and downhill trip
c) More time is lost on uphill trip
d) downhill speed compensates the time lost on uphill
Thanks for your help
Gul
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
6 miles / 11 mph=6/11 hours total trip time.
3 miles / 3 mph=1 hour travel time
Next 3 miles @ 23 mph=3/23 hours travel time
Total time for uphill and downhill route:1-3/23 hours
6 miles/1&3/23 mph=5.3076923 mph average over total trip
More time is lost on the uphill trip, which depresses the average. ☺☺☺☺
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