Lupe can ride her bike at a rate of 20 mph when there is no wind. On one particular day, she rode 2 miles against the wind and n

Question

2 years ago

12

Lupe can ride her bike at a rate of 20 mph when there is no wind. On one particular day, she rode 2 miles against the wind and n

oticed that it took her the same amount of time as it did to ride 3 miles with the wind. How fast was the wind blowing that day? 4 mph 7 mph 10 mph 12 mph

Mathematics

2 answers:

jekas [21] · Answer 1 · 2023-04-08T20:41:08+03:00

jekas [21]2 years ago

8 0

Hello there! Your answer should be 4 mph. Reasoning:
2 = (20 - x) * t
<span>3 = (20 + x ) * t </span>
Time is the same for both equations. Solve for T.
2/(20-x) = 3/(20+x)
<span>the answer is 4 mph.
Please tell me if I was right!</span>

lana [24] · Answer 2 · 2023-04-08T19:17:28+03:00

Let wind speed = x mph

when she rode 2 miles against the wind we have:-
speed = distance / time so
20 - x = 2 / t -------(1) where t is the time she took.

when riding with the wind we have

20 + x = 3 / t--------(2) adding equations (1) and (2):-

40 = 2/t + 3/t
40 = 5/t
t = 5/40 = 1/8 hr

x = 20 - 2 / 1/8 = 20 - 16 = 4

Wind speed was 4 mph Answer