Natasha rides her bike (at a constant speed) for 3 hours, helped by a wind of 3 miles per hour. Pedaling at the same rate, the trip back against the wind takes 9 hours. Find find the total round trip distance she traveled.

Question

anonymous · Answer

Natasha rides her bike (at a constant speed) for 3 hours, helped by a wind of 2 miles per hour. Pedaling at the
same rate, the trip back against the wind takes 7 hours. Find find the total round trip distance she traveled

anonymous · Answer

Let r be the bike speed in no wind.
r t = d
Solve the following for r:
(r + 3) 3 = (r - 3) 9
r = 6
roundTripDistance = (r + 3) 3 + (r - 3) 9
Replace r with 6 in the above expression and evaluate the result.
roundTripDistance = 54 miles