What was her average speed for the entire ride?

Question

During a bicycle ride, Pamela started out riding uphill, traveling 22 miles in 4 hours and 41 minutes. Since the way back was mostly downhill, she was able to make the return trip in 54 minutes. Answer in mph, whole number or nearest tenth

Answer 1

distance=rate*time

total distance=rate*total time

total distance=22+22-44 miles

total time=4 41/60 + 54/60=4 95/60 hours=5 35/60 hours=5 7/12 hours, or 67/12 hours

d=r*t

44=r*(67/12)

(12/67)(44)=r*(12/67)(67/12)

528/67=r

r=7.88 mph

r=7.9 mph is the average speed

Answer 2

d = rt, so r = d/t

 

4:41 + 0:54 = 4:95 = 5:35 = 5 35/60 = 5 7/12 = 67/12

 

44/(67/12) = 44(12/67) = 528/67 = 7.9 mph