Answer:
30 miles÷ 2.5
2.5 hours÷ 2.5
=
12 miles
1 hour
=
12 miles
hour
= 12 miles per hour
Hope this helps~
All the love, ya boi Fraser :)
The speed is the distance covered by an object at a particular time. The speed of the against the wind is 10 miles per hour.
The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]
Given that a bicyclist rides 30 mi against a wind and returns 30 mi with the wind. His average speed for the return trip is 5 mph faster. Therefore, we can write the following details,
Distance in the direction of wind, d = 30 miles
Distance in the direction against the wind, d = 30 miles
Speed when riding in the direction of the wind, s = x + 5
Speed when riding against the direction of the wind, S = x
Also, the total time = 5 hrs
Now, the equation of the total time can be written as,
(30 / x+5) + (30 / x) = 5
30x + 30x + 150 = 5x(x+5)
60x + 150 = 5x² + 25x
5x² - 35x - 150 = 0
5x² - 50x + 15x - 150 = 0
5x(x - 10) + 15(x - 10) = 0
(5x + 15)(x - 10) = 0
x = -3, 10
Hence, the speed of the against the wind is 10 miles per hour.
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