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lesantik [10]
4 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]4 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]4 years ago
4 0
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

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