Rational Equations (Please HELP!)

Question

Betty walks 5 kilometers from her house to Divisoria to buy a new bike which she

will then use to return home. She averaged 10 kilometers faster on her bike than on foot. If

her total trip took 1 hour and 20 minutes, what is her walking speed in KPH?

Answer 1

5 km one way

10 km round trip in 1 hour and 20 minutes= 4/3 hour

R=10+W, riding speed = 10 kph + walking speed

It took 1 hour to walk 5 km at 5 kph

It took 5/15 = 1/3 hour= 20 minutes to ride 5 km at 15 kph

R = 15 kph

W = 5 kph

distance= speed times time

d = st

5 = Rt = (W+10)t = tW +10t

5 = W(4/3 - t) = 4W/3 -tW

10 = 10t + (4/3)W

1= t + (4/30)W

1= 1/3 + (4/30)5= 1/3 + 2/3